Trace rings of generic matrices are Cohen-Macaulay-Reference-Cited by-同舟云学术

Trace rings of generic matrices are Cohen-Macaulay

Published:1989 Issue:4 Volume:2 Page:775-799
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Van den Bergh Michel

Abstract

In this paper, we prove that trace rings of generic matrics are Cohen-Macaulay (Theorem 7.3.6). This is done by relating this problem to a conjecture of Stanley about modules of invariants under a reductive group. We prove a slightly weakened version (Conjecture 3.4’) of this conjecture in special cases (Theorem 6.1.8). In particular, we obtain that Conjecture 3.4’ is true for S L 2 S{L_2} (Remark 6.1.10).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/1989-02-04/S0894-0347-1989-1001850-7/S0894-0347-1989-1001850-7.pdf

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