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Commutative algebras in Drinfeld categories of abelian Lie algebras
classification
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algebrascategoriescommutativeabeliandescribedrinfeldlocalmodules
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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 finite number of simple local modules.
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