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Characteristic Polynomials in Clifford Algebras and in More General Algebras

  • Jacques HelmstetterEmail author
Article
  • 35 Downloads
Part of the following topical collections:
  1. Homage to Prof. W.A. Rodrigues Jr

Abstract

This article combines two independent theories: firstly, the algorithm of Faddeev–Leverrier which calculates characteristic polynomials of matrices; secondly, the Descent Theory which, in particular, lets many properties of matrix algebras descend down to Azumaya algebras, especially the characteristic polynomials. The algorithm of Faddeev–Leverrier is completely revisited. The details of the descent are explained as far as they are needed for Clifford algebras over fields.

Keywords

Matrices Algorithm of Faddeev–Leverrier Central simple algebras Azumaya algebras 

Mathematics Subject Classification

15A15 16S50 15A66 

Notes

References

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institut Fourier, Université de Grenoble ISaint-Martin d’HèresFrance

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