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arXiv · 2409.18551

Induction for representations of coideal doubles, with an application to quantum $SL(2,\mathbb{R})$

Kenny De Commer
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Abstract

We investigate the theory of induction in the setting of doubles of coideal $*$-subalgebras of compact quantum group Hopf $*$-algebras. We then exemplify parts of this theory in the particular case of quantum $SL(2,\mathbb{R})$, and compute the decomposition of the regular representation for quantum $SL(2,\mathbb{R})$ into irreducibles.

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Kenny De Commer. 2024-09-27. Induction for representations of coideal doubles, with an application to quantum $SL(2,\mathbb{R})$. https://arxiv.org/abs/2409.18551

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