*-Polynomial identities of matrices with the transpose involution: The lowdegrees

Authors
D'Amour, A Racine, M
Citation
A. D'Amour et M. Racine, *-Polynomial identities of matrices with the transpose involution: The lowdegrees, T AM MATH S, 351(12), 1999, pp. 5089-5106
Citations number
17
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
351
Issue
12
Year of publication
1999
Pages
5089 - 5106
Database
ISI
SICI code
0002-9947(199912)351:12<5089:*IOMWT>2.0.ZU;2-J
Abstract
In this paper, we investigate *-polynomial identities of minimal degree for the algebra of n x n matrices over a field, where n < 5 and * is the trans pose involution. We first present some basic generators, and then proceed t o show that all other minimal degree identities can be derived from those.