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Rings, Modules, and Representations
August 14-18, 2000
Ovidius University
Constanta, Romania

Organizers
Laszlo Marki, Fred van Oystaeyen, Klaus W. Roggenkamp, Mirela Stefanescu

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Cohen-Macaulay property of rings of matrix invariants
by
Alexandr N. Zubkov
Omsk State Pedagogical University
Coauthors: Sergei G.Kuz'min

We investigate rings of invariants of m-tuples of n by n matrices under the diagonal adjoint action of the group GLn over an algebraically closed field of the characteristic 2. Generalizing our previous result concerning the case m=4, n=2 we prove that in the cases m >= 4 or n >= 4 all these rings of invariants are not Cohen-Macaulay again. Another cases are discussed too.

Date received: June 16, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafe-13.