Commutative subalgebras of U(\mathfrak q) of maximal transcendence degree

2020/01/30 by Yakimova, Oksana
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2001.11493

Abstract

We prove that the enveloping algebra U(\mathfrak q) of a finite-dimensional Lie algebra \mathfrak q contains a commutative subalgebra of the maximal possible transcendence degree (dim\mathfrak q+ ind \mathfrak q)/2.

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