*-polynomial identities of matrices

with the transpose involution:

The low degrees

Authors:
Alain D'Amour and Michel Racine

Journal:
Trans. Amer. Math. Soc. **351** (1999), 5089-5106

MSC (1991):
Primary 16R10, 16R50

DOI:
https://doi.org/10.1090/S0002-9947-99-02301-6

Published electronically:
May 21, 1999

MathSciNet review:
1603886

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we investigate -polynomial identities of minimal degree for the algebra of matrices over a field, where and is the transpose involution. We first present some basic generators, and then proceed to show that all other minimal degree identities can be derived from those.

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Additional Information

**Alain D'Amour**

Affiliation:
Department of Mathematics & Computer Science, Denison University, Granville, Ohio 43023

Email:
damour@cc.denison.edu

**Michel Racine**

Affiliation:
Department of Mathematics, University of Ottawa, Ottawa, Ontario, K1N 6N5, Canada

Email:
me@mathstat.uottawa.ca

DOI:
https://doi.org/10.1090/S0002-9947-99-02301-6

Received by editor(s):
May 18, 1997

Published electronically:
May 21, 1999

Additional Notes:
The second author’s research is supported in part by a grant from NSERC

Article copyright:
© Copyright 1999
American Mathematical Society