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The Hilbert series of rings of matrix concomitants

Published online by Cambridge University Press:  22 January 2016

Yasuo Teranishi
Yasuo Teranishi*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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Throughout this paper, K will be a field of characteristic zero. Let K ‹x1,…, xm › be the K-algebra in m variables x1…, xm and Im, n the T-ideal consisting of all polynomial identities satisfied by m n by n matrices. The ring R(n, m) = K ‹x1,…, xm ›/Im, n is called the ring of m generic n by n matrices.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 111 , September 1988 , pp. 143 - 156
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

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