Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture
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arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866909034264657920 |
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| author | Sevostyanov, Alexey |
| author_facet | Sevostyanov, Alexey |
| contents | This monograph, along with a self-consistent presentation of the theory of q-W-algebras including the construction of algebraic group analogues of Slodowy slices, contains a description of q-W-algebras in terms of Zhelobenko type operators introduced in the book. This description is applied to prove the De Concini-Kac-Procesi conjecture on the dimensions of irreducible modules over quantum groups at roots of unity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_03208 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture Sevostyanov, Alexey Quantum Algebra Representation Theory 17B37, 20G15, 20G42 This monograph, along with a self-consistent presentation of the theory of q-W-algebras including the construction of algebraic group analogues of Slodowy slices, contains a description of q-W-algebras in terms of Zhelobenko type operators introduced in the book. This description is applied to prove the De Concini-Kac-Procesi conjecture on the dimensions of irreducible modules over quantum groups at roots of unity. |
| title | Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture |
| topic | Quantum Algebra Representation Theory 17B37, 20G15, 20G42 |
| url | https://arxiv.org/abs/2102.03208 |