Heisenberg Double over Regular Multiplier Hopf Algebras

Details Heisenberg Double over Regular Multiplier Hopf Algebras Heisenberg Double over Regular Multiplier Hopf Algebras

2011-10-25

arxiv.org/abs/1110.5543v1

Mathematics

Rings and Algebras

15 pages

Scientific paper

Based on a pairing of two regular multiplier Hopf algebras $A$ and $B$, we introduce a (generalized) Heisenberg double $\mathscr{H}=A # B$. Let $\mathscr{D}=A\bowtie B$ be the Drinfel'd double, then Heisenberg double $\mathscr{H}$ is a Yetter-Drinfel'd $\mathscr{D}$-module algebra. Moreover, Heisenberg double $\mathscr{H}$ is braided commutative by the braiding of Yetter-Drinfel'd module.

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