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arXiv · 1005.4512

Commutative algebras in Drinfeld categories of abelian Lie algebras

Alexei Davydov·Vyacheslav Futorny
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Abstract

We describe (braided-)commutative algebras with non-degenerate multiplicative form in certain braided monoidal categories, corresponding to abelian metric Lie algebras (so-called Drinfeld categories). We also describe local modules over these algebras and classify commutative algebras with finite number of simple local modules.

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Alexei Davydov, Vyacheslav Futorny. 2010-05-25. Commutative algebras in Drinfeld categories of abelian Lie algebras. https://arxiv.org/abs/1005.4512

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