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Showing 1 to 2 of 2 for “"braided categories"”.
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Inductive constructions for Lie bialgebras and Hopf algebras
… resulting objects, which are Hopf algebras in braided categories, that is, covariant Hopf algebras. The second application generalises one of the most important constructions in this field, namely the Drinfel'd double of a Lie bialgebra, which has dimension twice that of the underlying algebra. …
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Near-Group Categories
We consider the possibility of semisimple tensor categories whose fusion rule includes exactly one noninvertible simple object, so-called near-group categories. Data describing the fusion rule is reduced to an abelian group G and a nonnegative integer k. Conditions are given, in terms of G and k, …