Commutative algebras in Drinfeld categories of abelian Lie algebras

Published 25 May 2010 in math.CT and math.QA | (1005.4512v1)

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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