*-polynomial identities of matrices with the transpose involution: The low degrees

D’Amour, Alain; Racine, Michel

doi:10.1090/S0002-9947-99-02301-6

*-polynomial identities of matrices with the transpose involution: The low degrees
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by Alain D’Amour and Michel Racine

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

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

Published electronically: May 21, 1999

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Abstract:

In this paper, we investigate $*$-polynomial identities of minimal degree for the algebra of $n\times n$ matrices over a field, where $n<5$ 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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