Indecomposable Hopf $*$-algebra representations with invariant inner product
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917847103438848 |
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| author | Kolt, Quinn T. Zhao, Ziqian |
| author_facet | Kolt, Quinn T. Zhao, Ziqian |
| contents | 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 $H_{n,d}(q)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Indecomposable Hopf $*$-algebra representations with invariant inner product Kolt, Quinn T. Zhao, Ziqian Quantum Algebra 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 $H_{n,d}(q)$. |
| title | Indecomposable Hopf $*$-algebra representations with invariant inner product |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2411.01463 |