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arXiv · 2001.11493

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

Oksana Yakimova
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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 $(\dim\mathfrak q+ \mathrm{ind}\,\mathfrak q)/2$.

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BibTeXRIS

Oksana Yakimova. 2020-01-30. Commutative subalgebras of $U(\mathfrak q)$ of maximal transcendence degree. https://arxiv.org/abs/2001.11493

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