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Elementary invariants for centralizers of nilpotent matrices

Jonathan Brown·Jonathan Brundan
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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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Jonathan Brown, Jonathan Brundan. 2006-11-01. Elementary invariants for centralizers of nilpotent matrices. https://doi.org/10.1017/s1446788708000608

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