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Braided Hopf algebras arising from matched pairs of groups

Nicolas Andruskiewitsch·Sonia Natale
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Abstract

Let k be a field. Let also (F, G) be a matched pair of groups. We give necessary and sufficient conditions on a pair (σ, τ) of 2-cocycles in order that the crossed product algebra and the crossed coproduct coalgebra k^G{}^τ#_σ kF combine into a braided Hopf algebra. We also discuss diagonal realizations of such braided Hopf algebras in the category of Yetter-Drinfeld modules over a finite group.

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BibTeXRIS

Nicolas Andruskiewitsch, Sonia Natale. 2002-11-25. Braided Hopf algebras arising from matched pairs of groups. https://arxiv.org/abs/math/0209210

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