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*-Polynomial Identities of Matrices with the Transpose Involution: The Low Degrees

Alain D'Amour and Michel Racine
Transactions of the American Mathematical Society
Vol. 351, No. 12 (Dec., 1999), pp. 5089-5106
Stable URL: http://www.jstor.org/stable/117989
Page Count: 18
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
*-Polynomial Identities of Matrices with the Transpose Involution: The Low Degrees
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Abstract

In this paper, we investigate * -polynomial identities of minimal degree for the algebra of n× 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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