Skip to main content
SpringerLink
Log in

Joseph H. M. Wedderburn and the structure theory of algebras

  • Published:
Archive for History of Exact Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Bibliography

  • Albert, A. Albert. Structure of Algebras. American Mathematical Society Colloquium Publications, vol. 24. Providence, R.I.: American Mathematical Society, 1939.

    Google Scholar 

  • Andrews, George E. Partitions: Yesterday and Today. Wellington, N.Z.: New Zealand Mathematical Society, 1979.

    Google Scholar 

  • Archibald, Raymond C., ed. A Semicentennial History of the American Mathematical Society 1888–1938. 2 vols. New York: American Mathematical Society, 1938.

    Google Scholar 

  • -- “Benjamin Peirce.” American Mathematical Monthly 32 (January 1925): 1–30.

  • Artin, Emil. “Zur Theorie der hyperkomplexen Zahlen.” Hamburger Abhandlungen 5 (1927): 251–60.

    Google Scholar 

  • Bell, Eric Temple. “Fifty Years of Algebra in America.” In Semicentennial Addresses of the American Mathematical Society, 2, pp. 1–34. Edited by Raymond C. Archibald. New York: American Mathematical Society, 1938.

    Google Scholar 

  • Birkhoff, George D. “Fifty Years of American Mathematics.” In Semicentennial Addressesof the American Mathematical Society, 2, pp. 270–315. Edited by Raymond C. Archibald. New York: American Mathematical Society, 1938.

    Google Scholar 

  • Burnside, William. “On the Continuous Group That Is Defined by Any Given Group of Finite Order.” Proceedings of the London Mathematical Society 29 (January 1898): 207–24.

    Google Scholar 

  • “On the Continuous Group That Is Defined by Any Given Group of Finite Order (Second Paper).” Proceedings of the London Mathematical Society 29 (June 1898): 546–65.

    Google Scholar 

  • Cartan, Elie. “Nombres complexes, exposé, d'après l'article allemand de E. Study.” In Encyclopédie des Sciences mathématiques pures et appliquées, Tome 1, vol. 1, pp. 329–468. 7 Tomes in 28 vols. Paris: Gauthier-Villars; Leipzig: B. G. Teubner, 1904–16.

    Google Scholar 

  • Oeuvres Completes. 3 vols. in 6 pts. Paris: Gauthier-Villars, 1952–55.

    Google Scholar 

  • Première Thèse: Sur la Structure des Groupes de Transformations finis et continus. Paris: Nony, 1894.

    Google Scholar 

  • “Sur les groupes bilinéaires et les systèmes de nombres complexes.” Annales de la Faculté des Sciences de Toulouse 12B (1898): B1-B99.

    Google Scholar 

  • “Sur les systèmes de nombres complexes.” Comptes rendus 124 (May 1897): 1217–20.

    Google Scholar 

  • “Sur les systèmes rèels de nombres complexes.” Comptes rendus 124 (June 1897): 1296–97.

    Google Scholar 

  • Cayley, Arthur. The Collected Mathematical Papers of Arthur Cayley. Edited by Arthur Cayley & A. R. Forsyth. 14 vols. Cambridge: University Press, 1889–98.

    Google Scholar 

  • “On Jacobi's Elliptic Functions, in reply to the Rev. B. Bronwin: and on Quaternions.” In The Collected Mathematical Papers of Arthur Cayley, 1, p. 127. Edited by Arthur Cayley & A. R. Forsyth. 14 vols. Cambridge: University Press, 1889–98.

    Google Scholar 

  • “On Linear Transformations.” Cambridge and Dublin Mathematics Journal 1 (1846): 104–22.

    Google Scholar 

  • “Mémoire sur les Hyperdéterminants (Traduction d'un Mémoire anglais inséré dans le ‘Cambridge Mathematical Journal’ Avec Quelques Additions de l'Auteur.” Crelle 30 (1846): 1–37.

    Google Scholar 

  • “A Memoir on the Automorphic Linear Transformation of a Bipartite Quadric Function.” Philosophical Transactions of the Royal Society of London 148 (January 1858): 39–46.

    Google Scholar 

  • “A Memoir on the Theory of Matrices.” Philosophical Transactions of the Royal Society of London 148 (January 1858): 17–37.

    Google Scholar 

  • “Presidential Address to the British Associtation: September 1883.” In The Collected Mathematical Papers of Arthur Cayley, 11, pp. 429–59. Edited by Arthur Cayley & A. R. Forsyth. 14 vols. Cambridge: University Press, 1889–98.

    Google Scholar 

  • “Remarques sur la Notation des Fonctions algébriques.” Crelle 50 (1855): 282–85.

    Google Scholar 

  • “On the Theory of Linear Transformations.” Cambridge Mathematics Journal 4 (February 1845): 193–209.

    Google Scholar 

  • “Sur la Transformation d'une Fonction quadratique en elle-même par des Substitutions linéaires.” Crelle 50 (1855): 288–99.

    Google Scholar 

  • Clifford, William K. “A Fragment on Matrices.” In Mathematical Papers by William Kingdon Clifford, pp. 337–41. Edited by Robert Tucker with an Introduction by H. J. Stephen Smith. London: Macmillan & Co., 1882; reprint ed., Bronx, N.Y.: Chelsea Publishing Co., 1968.

    Google Scholar 

  • Mathematical Papers by William Kingdon Clifford. Edited by Robert Tucker with an Introduction by H. J. Stephen Smith. London: Macmillan & Co., 1882; reprint ed., Bronx, N.Y.: Chelsea Publishing Co., 1968.

    Google Scholar 

  • “Preliminary Sketch of Biquaternions.” Proceedings of the London Mathematical Society 4 (1873): 381–95.

    Google Scholar 

  • Cohen, Abraham. An Introduction to the Lie Theory of One-Parameter Groups with Applications to the Solution of Differential Equations. New York: G. E. Stechert & Co., 1931.

    Google Scholar 

  • Crowe, Michael J. A History of Vector Analysis: The Evolution of the Idea of a Vectorial System. Notre Dame: University of Notre Dame Press, 1968.

    Google Scholar 

  • Dedekind, Richard. Gesammelte mathematische Werke. Edited by Robert Fricke, Emmy Noether, & Oystein Ore. 3 vols. Braunschweig: F. Vieweg und Sohn, 1930–32; reprint ed., Bronx, N.Y.: Chelsea Publishing Co., 1969.

    Google Scholar 

  • “Zur Theorie der aus n Haupteinheiten gebildeten complexen Grössen.” Göttingen Nachrichten (1885): 141–59.

  • Deuring, Max. Algebren. Ergebnisse der Mathematik und Ihrer Grenzgebiete, vol. 1. Berlin: Springer Verlag, 1935; reprint ed., New York: Chelsea Publishing Co., 1948.

    Google Scholar 

  • Dickson, Leonard Eugene. Algebras and Their Arithmetics. University of Chicago Science Series. Chicago: University of Chicago Press, 1923.

    Google Scholar 

  • Dictionary of Scientific Biography, 1973, ed. S.v. “Klein, Christian Felix,” by Werner Burau & Bruno Schoenberg.

  • Dictionary of Scientific Biography, 1974, ed. S.v. “Peirce, Charles Saunders,” by Carolyn Eisele.

  • Dictionary of Scientific Biography, 1976 ed. S.v. “Wedderburn, Joseph Henry Maclagan,” by Henry Nathan.

  • Edinburgh, Scotland. Edinburgh University. Department of Special Collections. Minutes of Senatus. vol. 13 (Handwritten and Dated 31 Jan. 1903 to 13 Jan. 1906).

  • Edinburgh, Scotland. Edinburgh University. Department of Special Collections. Minutes of Senatus. vol. 14 (Handwritten and Dated 3 Feb. 1906 to 10 Oct. 1908).

  • Encyclopédie des Sciences pures et appliquées publiée sous les auspices des Académies des Sciences de Göttingue, de Leipzig, de Munich et de Vienne avec la Collaboration de nombreux savants. 7 Tomes in 28 vols. Paris: Gauthier-Villars; Leipzig: B. G. Teubner, 1904–16.

  • Engel, Friedrich. “Sophus Lie.” Leipziger Berichte 51 (November 1899): xi–lxi.

  • “Wilhelm Killing.” Jahresberichte der Deutschen-Mathematiker-Vereinigung 39 (1930): 140–58.

    Google Scholar 

  • Epsteen, Saul. “Semireducible Hypercomplex Number Systems.” Transactions of the American Mathematical Society 4 (October 1904): 437–44.

    Google Scholar 

  • Untersuchungen über lineare Differentialgleichungen 4. Ordnung und die zugehörigen Gruppen. Zurich: A. Diggelmann, 1901.

    Google Scholar 

  • Epsteen, Saul, & Wedderburn, Joseph H. M. “On the Structure of Hypercomplex Number Systems.” Transactions of the American Mathematical Society 6 (March 1905): 172–78.

    Google Scholar 

  • Forsyth, A. R. “Arthur Cayley.” Proceedings of the Royal Society of London 58 (June 1895): i-xliii.

    Google Scholar 

  • Frobenius, Georg. “Über die Darstellung der endlichen Gruppen durch lineare Substitutionen.” In Ferdinand Georg Frobenius: Gesammelte Abhandlungen, 3, pp. 89–103. Edited by Jean-Pierre Serre. 3 vols. Berlin: Springer Verlag, 1968.

    Google Scholar 

  • “Über endliche Gruppen.” In Ferdinand Georg Frobenius: Gesammelte Abhandlungen, 2, pp. 632–63. Edited by Jean-Pierre Serre. 3 vols. Berlin: Springer Verlag, 1968.

    Google Scholar 

  • Gesammelte Abhandlungen. Edited by Jean-Pierre Serre. 3 vols. Berlin: Springer Verlag, 1968.

    Google Scholar 

  • “Ueber lineare Substitutionen und bilineare Formen.” In Ferdinand Georg Frobenius: Gesammelte Abhandlungen, 1, pp. 343–405. Edited by Jean-Pierre Serre. 3 vols. Berlin: Springer Verlag, 1968.

    Google Scholar 

  • “Über die Primfactoren der Gruppendeterminante II.” In Ferdinand Georg Frobenius: Gesammelte Abhandlungen, 3, pp. 275–83. Edited by Jean-Pierre Serre. 3 vols. Berlin: Springer Verlag, 1968.

    Google Scholar 

  • “Theorie der hyperkomplexen Grössen.” Berliner Sitzungsberichte 30 (April 1903): 504–37.

    Google Scholar 

  • “Theorie der hyperkomplexen Grössen II.” Berliner Sitzungsberichte 30 (June 1903): 634–45.

    Google Scholar 

  • “Uber vertauschbare Matrizen.” In Ferdinand Georg Frobenius: Gesammelte Abhandlungen, 2, pp. 705–18. Edited by Jean-Pierre Serre. 3 vols. Berlin: Springer Verlag, 1968.

    Google Scholar 

  • Gauss, Carl Friedrich. Disquisitiones Arithmeticae. Translated by Arthur A. Clark, S.J. New Haven: Yale University Press, 1966.

    Google Scholar 

  • Ginsburg, Jekuthiel. “A Hitherto Unpublished Letter by Benjamin Peirce.” Scripta Mathematica 2 (May 1934): 278–82.

    Google Scholar 

  • Hamilton, William Rowan. The Mathematical Papers of Sir William Rowan Hamilton. Edited by H. Halberstam & R. E. Ingram. 3 vols. Cambridge: University Press, 1967.

    Google Scholar 

  • Hankins, Thomas L. Sir William Rowan Hamilton. Baltimore: Johns Hopkins University Press, 1980.

    Google Scholar 

  • Happel, Dieter. “Klassifikationstheorie endlich-dimensionaler Algebren in der Zeit von 1880 bis 1920.” L'Enseignement mathématique, 2d ser., 26 (January–June 1980): 91–102.

    Google Scholar 

  • Hawkes, Herbert. “Estimate of Peirce's ‘Linear Associative Algebra.’” American Journal of Mathematics 24 (1902): 87–95.

    Google Scholar 

  • Hawkins, Thomas. “Another Look at Cayley and the Theory of Matrices.” Archives internationales d'Histoire des Sciences 26 (June 1977): 82–112.

    Google Scholar 

  • “Hypercomplex Numbers, Lie Groups, and the Creation of Group Representation Theory.” Archive for History of Exact Sciences 8 (April 1972): 243–87.

    Google Scholar 

  • “New Light on Frobenius' Creation of the Theory of Group Characters.” Archive for History of Exact Sciences 12 (August 1974): 217–43.

    Google Scholar 

  • “The Origins of the Theory of Group Characters.” Archive for History of Exact Sciences 7 (March 1971): 142–70.

    Google Scholar 

  • “The Theory of Matrices in the 19th Century.” In Proceedings of the International Congress of Mathematicians: Vancouver, 1974, 2, pp. 561–70. n.p.: Canadian Mathematical Congress, 1975.

    Google Scholar 

  • “Weierstrass and the Theory of Matrices.” Archive for History of Exact Sciences 17 (July 1977): 119–63.

    Google Scholar 

  • “Wilhelm Killing and the Structure of Lie Algebras.” Archive for History of Exact Sciences 23 (July 1982): 127–92.

    Google Scholar 

  • Herstein, Israel N. Noncommutative Rings. Carus Mathematical Monographs, no. 15. n.p.: Mathematical Association of America, 1968.

  • Jacobson, Nathan. “The Radical and Semi-simplicity for Arbitrary Rings.” American Journal of Mathematics 67 (1945): 300–20.

    Google Scholar 

  • Killing, Wilhelm. “Die Zusammensetzung der stetigen endlichen Transformationsgruppen.” Mathematische Annalen 31 (1887): 252–90.

    Google Scholar 

  • “Die Zusammensetzung der stetigen endlichen Transformationsgruppen: Zweiter Teil.” Mathematische Annalen 33 (1889): 1–48.

    Google Scholar 

  • Kline, Morris. Mathematical Thought from Ancient to Modern Times. New York: Oxford University Press, 1972.

    Google Scholar 

  • Lejeune-Dirichlet, Peter G. Vorlesungen über Zahlentheorie. Edited by Richard Dedekind. 4th ed. Braunschweig: F. Vieweg und Sohn, 1893; reprint ed., New York: Chelsea Publishing Co., 1968.

    Google Scholar 

  • Lie, Sophus. Gesammelte Abhandlungen auf Grund einer Bewilligung aus dem norwegischen Forschungsfonds von 1919 und mit Unterstützung der Videnskapsakademie zu Oslo und der Akademie der Wissenschaften zu Leipzig. Edited by Friedrich Engel. 6 vols. and 4 supps. Leipzig: B. G. Teubner; Oslo: H. Aschehoug & Co., 1922–37.

    Google Scholar 

  • Lie, Sophus. Sophus Lie's 1880 Transformations Group Paper. Edited by Robert Hermann and Translated by Michael Ackerman. Lie Groups: History, Frontiers, and Applications, vol. 1. Brookline, Mass.: Math Sci Press, 1975.

    Google Scholar 

  • Lie, Sophus & Engel, Friedrich. Theorie der Transformationsgruppen. 3 vols. Leipzig: B. G. Teubner, 1888–93.

    Google Scholar 

  • Lie, Sophus, & Scheffers, Georg. Vorlesungen über continuierliche Gruppen mit geometrischen und anderen Anwendungen. Leipzig: B. G. Teubner, 1893.

    Google Scholar 

  • Molien, Theodor. “Ueber Systeme höherer complexer Zahlen.” Mathematische Annalen 41 (1893): 83–156.

    Google Scholar 

  • [Newton, H. A.]. “Benjamin Peirce,” Proceedings of the American Academy of Arts and Sciences. n.s., 8 (May 1881): 443–54.

    Google Scholar 

  • Parshall, Karen Hunger. “E. H. Moore and the Founding of a Mathematical Community in America: 1892–1902.” Annals of Science to appear.

  • “In Pursuit of the Finite Division Algebra Theorem and Beyond: Joseph H. M. Wedderburn, Leonard E. Dickson, and Oswald Veblen.” Archives internationales d'Histoire des Sciences, 33 (Dec. 1983): 274–99

    Google Scholar 

  • Peirce, Benjamin. Ideality in the Physical Sciences. Boston: Little, Brown, & Co., 1881.

    Google Scholar 

  • “Linear Associative Algebra with Notes and Addenda by C. S. Peirce, Son of the Author.” American Journal of Mathematics 4 (1881): 97–229.

    Google Scholar 

  • “On the Uses and Transformations of Linear Algebra.” Proceedings of the American Academy of Arts and Sciences, n.s., 2 (May 1875): 395–400.

    Google Scholar 

  • Peirce, Charles S. “A Communication from Mr. C. S. Peirce.” Johns Hopkins University Circulars 2 (1883): 86–88.

    Google Scholar 

  • Peterson, Sven R. “Benjamin Peirce: Mathematician and Philosopher.” Journal of the History of Ideas 16 (January 1955): 89–112.

    Google Scholar 

  • Poincaré, Henri. “Sur les nombres complexes.” Comptes rendus 99 (November 1883): 740–42.

    Google Scholar 

  • “Rapport sur les travaux de M. Cartan à la Faculté des Sciences à l'Université de Paris.” Acta Mathematica 38 (1921): 137–45.

    Google Scholar 

  • Pycior, Helena M. “Early Criticism of the Symbolical Approach to Algebra.” Historia Mathematica 9 (November 1892): 392–412.

    Google Scholar 

  • “George Peacock and the British Origins of Symbolical Algebra.” Historia Mathematica 8 (February 1981): 23–45.

    Google Scholar 

  • “Benjamin Peirce's ‘Linear Associative Algebra.’” Isis 70 (December 1979): 537–51.

    Google Scholar 

  • Richards, Joan. “The Art and the Science of British Algebra: A Study in the Perception of Mathematical Truth.” Historia Mathematica 7 (August 1980): 345–65.

    Google Scholar 

  • Scheffers, Georg. “Ueber die Berechnung von Zahlensystemen.” Leipziger Berichte 41 (December 1889): 400–57.

    Google Scholar 

  • “Bestimmung einer Klasse von Beruhrungstransformationsgruppen.” Acta Mathematica 14 (1891): 117–78.

    Google Scholar 

  • “Ueber die Reducibilität complexer Zahlensystemen.” Mathematische Annalen 41 (1893): 601–604.

    Google Scholar 

  • “Zur Theorie der aus n Haupteinheiten gebildeten complexen Grössen.” Leipziger Berichte 41 (June 1889): 290–307.

    Google Scholar 

  • “Zurückführung complexer Zahlensysteme auf typische Formen.” Mathematische Annalen 39 (1891): 294–340.

    Google Scholar 

  • Schur, Friedrich. “Zur Theorie der aus n Haupteinheiten gebildeten complexen Grössen.” Mathematische Annalen 33 (1889): 49–60.

    Google Scholar 

  • Shaw, James Byrnie. Synopsis of Linear Associative Algebra: A Report on its Natural Development and Results Reached up to the Present Time. Washington, D.C.: Carnegie Institution of Washington, 1907.

    Google Scholar 

  • Spottiswoode, William. “Remarks on Some Recent Generalizations of Algebra.” Proceedings of the London Mathematical Society 4 (1873): 147–64.

    Google Scholar 

  • Steinitz, Ernst. “Algebraische Theorie der Körper.” Crelle 116 (1910): 1–132.

    Google Scholar 

  • Algebraische Theorie der Körper. Edited by Reinhold Baer & Helmut Hasse. New York: Chelsea Publishing Co., 1950.

    Google Scholar 

  • Study, Eduard. “Complexe Zahlen und Transformationsgruppen.” Leipziger Berichte 41 (May 1889): 177–228.

    Google Scholar 

  • --. “Über Systeme von complexen Zahlen.” Göttingen Nachrichten (1889): 237–68.

  • Sylvester, James Joseph. “Address on Commemoration Day at Johns Hopkins University, 22 February 1877.” In The Collected Mathematical Papers of James Joseph Sylvester, 3, pp. 72–87. Edited by H. F. Baker. 4 vols. Cambridge: University Press, 1904–12; reprint ed., New York: Chelsea Publishing Co., 1973.

    Google Scholar 

  • The Collected Mathematical Papers of James Joseph Sylvester. Edited by H. F. Baker. 4 vols. Cambridge: University Press, 1904–12; reprint ed., New York: Chelsea Publishing Co., 1973.

    Google Scholar 

  • “On the Equation to the Secular Inequalities in the Planetary Theory.” Philosophical Magazine 16 (March 1883): 267–69.

    Google Scholar 

  • The Laws of Verse; or, Principles of Versification Exemplified in Metrical Translations: Together with an Annotated Reprint of the Inaugural Presidential Address to the Mathematical and Physical Sections of the British Association at Exeter. London: Longmans, Green, & Co., 1870.

    Google Scholar 

  • “Lectures on the Principles of Universal Algebra.” American Journal of Mathematics 6 (1884): 270–86.

    Google Scholar 

  • “On the Method of Reciprocants as Containing an Exhaustive Theory of the Singularities of Curves.” In The Collected Mathematical Papers of James Joseph Sylvester, 4, pp. 278–302. Edited by H. F. Baker. 4 vols. Cambridge: University Press, 1904–12; reprint ed., New York: Chelsea Publishing Co., 1973.

    Google Scholar 

  • “Note on the Theory of Simultaneous Linear Differential or Difference Equations with Constant Coefficients.” American Journal of Mathematics 4 (1881): 321–26.

    Google Scholar 

  • “Sur les Puissances et les Racines de Substitutions linéaires.” Comptes rendus 94 (January 1882): 55–59.

    Google Scholar 

  • “Sur les quantités formant un groupe de nonions analogues aux quaternions de Hamilton.” Comptes rendus 97 (December 1883): 1336–40.

    Google Scholar 

  • “Sur les quantités formant un groupe de nonions analogues aux quaternions de Hamilton.” Comptes rendus 98 (February 1884): 273–76, 471–75.

    Google Scholar 

  • “On Quaternions, Nonions, Sedenions, etc.” Johns Hopkins University Circulars 2 (December 1883): 7–9.

    Google Scholar 

  • “Sur les Racines des Matrices unitaires.” Comptes rendus 94 (February 1882): 396–99.

    Google Scholar 

  • “On the Relation Between the Minor Determinants of Linearly Equivalent Quadratic Functions.” In The Collected Mathematical Papers of James Joseph Sylvester, 1, pp. 241–50. Edited by H. F. Baker, 4 vols, Cambridge: University Press, 1904–12; reprint ed., New York: Chelsea Publishing Co., 1973.

    Google Scholar 

  • “On Tchebysheff's Theory of the Totality of the Prime Numbers Comprised with Given Limits.” American Journal of Mathematics 4 (1881): 230–47.

    Google Scholar 

  • “On the Three Laws of Motion in the World of Universal Algebra.” Johns Hopkins University Circulars 3 (January 1884): 33–34.

    Google Scholar 

  • “A Word on Nonions.” Johns Hopkins University Circulars 1 (August 1882): 241–42.

    Google Scholar 

  • Taber, Henry. “On the Theory of Matrices.” American Journal of Mathematics 11 (1889): 337–95.

    Google Scholar 

  • Taylor, H. S.. “Joseph Henry Maclagen Wedderburn: 1882–1948.” Obituary Notices of Fellows of the Royal Society 6 (1948–49): 619–25.

    Google Scholar 

  • Turner, A. Logan, ed. History of the University of Edinburgh: 1883–1933. Edinburgh: Oliver and Boyd, 1933.

    Google Scholar 

  • Veblen, Oswald, & Wedderburn, Joseph H. M. “Non-Desarguesian and Non-Pascalian Geometries.” Transactions of the American Mathematical Society 8 (July 1907): 379–88.

    Google Scholar 

  • Warren, John. A Treatise on the Geometrical Representations of the Square Roots of Negative Quantities. Cambridge: University Press, 1828.

    Google Scholar 

  • Wedderburn, Joseph H. M. “On the Applications of Quaternions in the Theory of Differential Equations.” Transactions of the Royal Society of Edinburgh 40 (July 1903): 709–21.

    Google Scholar 

  • “On the General Scalar Function of a Vector.” Proceedings of the Royal Society of Edinburgh 24 (March 1903): 409–12.

    Google Scholar 

  • “On Hypercomplex Numbers.” Proceedings of the London Mathematical Society, 2d ser., 6 (November 1907): 77–118.

    Google Scholar 

  • “On the Isoclinal Lines of a Differential Equation of the First Order.” Proceedings of the Royal Society of Edinburgh 24 (January 1903): 400–408.

    Google Scholar 

  • “Note on Hypercomplex Numbers.” Proceedings of the Edinburgh Mathematical Society 25 (1906–1907): 2–4.

    Google Scholar 

  • “Note on the Linear Matrix Equation.” Proceedings of the Edinburgh Mathematical Society 22 (1903–1904): 49–53.

    Google Scholar 

  • --. “Pamphlets.” vols. 7, 8 and 9.

  • “A Theorem in Hypercomplex Numbers.” Proceedings of the Royal Society of Edinburgh 26 (January 1906): 48–50.

    Google Scholar 

  • --. “The Theory of Linear Associative Algebras.” D.Sc. dissertation, University of Edinburgh, 1908.

  • Weierstrass, Karl. Mathematische Werke. 7 vols. Berlin: Mayer & Müller; Leipzig: Akademische Verlagsgesellschaft, 1894–1927; reprint ed., Hildeshum: Georg Ohms Verlagsbuchhandlung; New York: Johnson Reprint Corporation, 1967.

    Google Scholar 

  • -- “Zur Theorie der aus n Haupteinheiten gebildeten complexen Grössen.” Göttingen Nachrichten (1884): 395–414.

  • Weyl, Hermann. Classical Groups: Their Invariants and Representations. 2d ed. with supps. Princeton Mathematical Series, no. 1. Princeton: University Press, 1946.

    Google Scholar 

  • Weyr, Eduard. “Répartition des matrices en espèces et formation de toutes les espèces.” Comptes rendus 100 (April 1885): 966–69.

    Google Scholar 

  • “Sur la théorie des matrices.” Comptes rendus 100 (March 1885): 787–89.

    Google Scholar 

  • “Sur la théorie des quaternions.” Comptes rendus 98 (April 1884): 906–907, 1320–23.

    Google Scholar 

  • Yates, R. C. “Sylvester at the University of Virginia.” American Mathematical Monthly 44 (April 1937): 194–201.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Sweet Briar College, Sweet Briar, Virginia

    Karen Hunger Parshall

Authors
  1. Karen Hunger Parshall
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by H. Freudenthal

To my adviser, I. N. Herstein

Rights and permissions

Reprints and permissions

About this article

Cite this article

Parshall, K.H. Joseph H. M. Wedderburn and the structure theory of algebras. Arch. Hist. Exact Sci. 32, 223–349 (1985). https://doi.org/10.1007/BF00348450

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00348450

Keywords

Search

Navigation