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local module

Proceedings of the Edinburgh Mathematical Society (1)

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Commutative algebras in Drinfeld categories of abelian Lie algebras
Part of
- Categories with structure
- Lie algebras and Lie superalgebras
Alexei Davydov, Vyacheslav Futorny
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 55 / Issue 3 / October 2012

Published online by Cambridge University Press:

30 August 2012, pp. 613-633
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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 a finite number of simple local modules.