论文标题

$ u(\ Mathfrak Q)的换向子代理,最大超越学位

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

论文作者

Yakimova, Oksana

论文摘要

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

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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