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Commutative algebras in Drinfeld categories of abelian Lie algebras
Published online by Cambridge University Press: 30 August 2012
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 a finite number of simple local modules.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 3 , October 2012 , pp. 613 - 633
- Copyright
- Copyright © Edinburgh Mathematical Society 2012