Commutative algebras in Drinfeld categories of abelian Lie algebras
Category Theory
2010-05-26 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1005.4512,
title = {Commutative algebras in Drinfeld categories of abelian Lie algebras},
author = {Alexei Davydov and Vyacheslav Futorny},
journal= {arXiv preprint arXiv:1005.4512},
year = {2010}
}