Elementary invariants for centralizers of nilpotent matrices
Rings and Algebras
2009-10-26 v1 Representation Theory
Abstract
We construct an explicit set of algebraically independent generators for the center of the universal enveloping algebra of the centralizer of a nilpotent matrix in the Lie algebra gl_N(C). In particular, this gives a new proof of the freeness of the center, a result first proved by Panyushev, Premet and Yakimova (math.RT/0610049).
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Cite
@article{arxiv.math/0611024,
title = {Elementary invariants for centralizers of nilpotent matrices},
author = {Jonathan Brown and Jonathan Brundan},
journal= {arXiv preprint arXiv:math/0611024},
year = {2009}
}
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12 pages