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

Published 27 Sep 2024 in math.QA and math.RT | (2409.18551v2)

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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