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Triality and Lie algebras of typeD 4

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Bibliography

  1. F. van der Blij and T. A. SpringerOctaves and triality, Nieuw Archief voor Wiskunde (3), vol. VIII (1960), 158–169.

    Google Scholar 

  2. C. L. Caroll Jr.Normal simple Lie algebras of type D and order 28 over a field of characteristic zero, University of North Carolina dissertation, 1943.

  3. N. JacobsonA class of normal simple Lie algebras of characteristic zero, Annals of Math. vol. 38 (1937), 508–517.

    Article  Google Scholar 

  4. —Simple Lie algebras of type A, Annals of Math., vol. 39 (1938), 181–188.

    Article  Google Scholar 

  5. —Simple Lie algebras over a field of characteristic zero, Duke Math. Jour. vol. 4 (1938), 534–551.

    Article  MATH  Google Scholar 

  6. —Classes of restricted Lie algebras of characteristic p, I, Am. J. of Math. vol. 63 (1941), 481–515.

    Article  MATH  Google Scholar 

  7. —Composition algebras and their automorphisms, Rend. Circolo Matem. di Palermo, ser. II vol. VII (1958), 55–80.

    Article  Google Scholar 

  8. —Some groups of linear transformations defined by Jordan algebras II, Jour. f. d. reine u. Angew. Mat., vol. 42 (1960), 74–98.

    Google Scholar 

  9. —Lie Algebras, Interscience, New York, 1962.

    MATH  Google Scholar 

  10. —Clifford algebras for algebras with involution of type D, Jour. of Algebra, vol. 1 (1964), 288–300.

    Article  MATH  Google Scholar 

  11. W. LandherrUber einfache Liesche Ringe, Abhandl. Mat. Sem. Hamburg, vol. 11 (1935), 41–64.

    MATH  Google Scholar 

  12. —Liesche Ringe von Typus A, Abhandl. Mat. Sem. Hamburg, vol. 12 (1936), 200–241.

    Google Scholar 

  13. W. H. Mills and G. B. SeligmanLie algebras of classical type, J. Math. Mech., vol. 6 (1957), 519–548.

    MATH  MathSciNet  Google Scholar 

  14. J. P. SerreCohomologie Galoisienne, Collège de France, 1963.

  15. R. SteinbergAutomorphisms of classical Lie algebras, Pacific J. of Math., vol. 11 (1961).

  16. A. WeilAlgebras with involution and the classical groups, J. Indian Math. Soc., vol. 24 (1960), 589–623.

    MathSciNet  Google Scholar 

  17. R. T. BarnesOn derivation algebras and Lie algebras of prime characteristic, Yale University dissertation, 1963.

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  1. New Haven, U.S.A.

    N. Jacobson

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  1. N. Jacobson
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Jacobson, N. Triality and Lie algebras of typeD 4 . Rend. Circ. Mat. Palermo 13, 129–153 (1964). https://doi.org/10.1007/BF02849523

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