Braided Hopf algebras arising from matched pairs of groups
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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.
25 pages, to appear in J. of Pure and Applied Algebra, appendix added at the end of the paper by suggestion of the referee
25 pages, to appear in J. of Pure and Applied Algebra, appendix added at the end of the paper by suggestion of the referee