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Jordan Form in Associative Algebras

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Spinors, Twistors, Clifford Algebras and Quantum Deformations

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 52))

Abstract

The Jordan form of an element in an associative algebra over the real number field is uniquely determined by special generators of the factor algebra of its minimal polynomial.

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References

  • Gantmacher, F.R.: 1960, Matrix Theory, Vol. 1, Chelsea Publishing Company, New York.

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  • Greub, W.H.: 1967, Linear Algebra, Third Edition, Springer-Verlag, New York.

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  • Herstein, I.N.: 1976 Rings with Involution, Chicago Lecture Series in Mathematics, University of Chicago Press, Chicago.

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  • Sobczyk Garret: 1993, ‘Jordan Form in Clifford Algebras’, in Clifford Algebras and their Applications in Mathematical Physics, Proceedings of the Third International Clifford Algebras Workshop, Edited by Fred Brackx, Kluwer, Dordrect.

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  • Sobczyk Garret: 1992, in Catto, S. and A. Rocha, ed(s)., Differential Geometry Methods in Theoretical Physics, , World Scientific Publ. Co., Singapore, pp.397–407.

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  • Sobczyk Garret: 1992, ‘Unipotents, Idempotents, and a Spinor Basis for Matrices’, Advances in Applied Clifford Algebras [2], No. 1.

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  • Turnbull H.W. and A.C. Aitken: 1969, An Introduction to the Theory of Canonical Matrices, Dover Publications, Inc..

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Author information

Authors and Affiliations

  1. Universidad Nacional Autónoma de México, FES-C, Apartado Postal #25, Cuautitlan Izcalli, 54700, Estado de México, Mexico

    Garret Sobczyk

Authors
  1. Garret Sobczyk
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Editor information

Editors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

    Zbigniew Oziewicz , Bernard Jancewicz  & Andrzej Borowiec ,  & 

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© 1993 Springer Science+Business Media Dordrecht

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Sobczyk, G. (1993). Jordan Form in Associative Algebras. In: Oziewicz, Z., Jancewicz, B., Borowiec, A. (eds) Spinors, Twistors, Clifford Algebras and Quantum Deformations. Fundamental Theories of Physics, vol 52. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1719-7_42

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  • DOI: https://doi.org/10.1007/978-94-011-1719-7_42

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4753-1

  • Online ISBN: 978-94-011-1719-7

  • eBook Packages: Springer Book Archive

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