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arXiv · 2404.19433

The Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism

Oleg Aristov
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Abstract

The Arens-Michael envelope of the universal enveloping algebra of a finite-dimensional complex Lie algebra is a homological epimorphism if and only if the Lie algebra is solvable. The necessity was proved by Pirkovskii in [Proc. Amer. Math. Soc. 134, 2621--2631, 2006]. We prove the sufficiency.

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Oleg Aristov. 2024-04-30. The Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism. https://arxiv.org/abs/2404.19433

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