Commutative algebras in Drinfeld categories of abelian Lie algebras

Details Commutative algebras in Drinfeld categories of abelian Lie algebras Commutative algebras in Drinfeld categories of abelian Lie algebras

2010-05-25

arxiv.org/abs/1005.4512v1

Mathematics

Category Theory

Scientific paper

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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