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Israel Journal of Mathematics

, Volume 107, Issue 1, pp 229–235 | Cite as

On the characteristic polynomial of supermatrices

  • Jenö Szigeti
Article

Abstract

We prove that the coefficients of the so-called right 2-characteristic polynomial of a supermatrix over a Grassmann algebraG=G 0G 1 are in the even componentG 0 ofG. As a consequence, we obtain that the algebra ofn×n supermatrices is integral of degreen 2 overG 0.

Keywords

Characteristic Polynomial Grassmann Algebra Central Polynomial Nilpotent Ring Hamilton Identity 
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Copyright information

© The Magnes Press 1998

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of MiskolcMiskolc-EggetmvárosHungary

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