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*-polynomial identities of matrices with the transpose involution: The low degrees
Author(s):
Alain
D'Amour;
Michel
Racine
Journal:
Trans. Amer. Math. Soc.
351
(1999),
5089-5106.
MSC (1991):
Primary 16R10, 16R50
Posted:
May 21, 1999
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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:
10.1090/S0002-9947-99-02301-6
PII:
S 0002-9947(99)02301-6
Received by editor(s):
May 18, 1997
Posted:
May 21, 1999
Additional Notes:
The second author's research is supported in part by a grant from NSERC
Copyright of article:
Copyright
1999,
American Mathematical Society
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