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arXiv · 2411.01463

Indecomposable Hopf $*$-algebra representations with invariant inner product

Quinn T. Kolt·Ziqian Zhao
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Abstract

We generalize a result of Araki (1985) on indecomposable group representations with invariant (necessarily indefinite) inner product and irreducible subrepresentation to Hopf $*$-algebras. Moreover, we characterize invariant inner products on the projective indecomposable representations of small quantum groups $U_qsl(2)$ at odd roots of unity and on the indecomposable representations of generalized Taft algebras $H_{n,d}(q)$.

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Quinn T. Kolt, Ziqian Zhao. 2024-11-03. Indecomposable Hopf $*$-algebra representations with invariant inner product. https://arxiv.org/abs/2411.01463

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