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- W4226026497 abstract "Let $A$ be a CQG Hopf $*$-algebra, i.e. a Hopf $*$-algebra with a positive invariant state. Given a unital right coideal $*$-subalgebra $B$ of $A$, we provide conditions for the existence of a quasi-invariant integral on the stabilizer coideal $B^{perp}$ inside the dual discrete multiplier Hopf $*$-algebra of $A$. Given such a quasi-invariant integral, we show how it can be extended to a quasi-invariant integral on the Drinfeld double coideal. We moreover show that the representation theory of the Drinfeld double coideal has a monoidal structure. As an application, we determine the quasi-invariant integral for the coideal $*$-algebra $U_q(mathfrak{sl}(2,mathbb{R}))$ constructed from the Podle'{s} spheres." @default.
- W4226026497 created "2022-05-05" @default.
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- W4226026497 date "2021-12-14" @default.
- W4226026497 modified "2023-09-29" @default.
- W4226026497 title "Invariant integrals on coideals and their Drinfeld doubles" @default.
- W4226026497 hasPublicationYear "2021" @default.
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