Quantized flag manifolds and non-restricted modules over quantum groups at roots of unity
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866914383293054976 |
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| author | Tanisaki, Toshiyuki |
| author_facet | Tanisaki, Toshiyuki |
| contents | We give a proof of Lusztig's conjectural multiplicity formula for non-restricted modules over the De Concini-Kac type quantized enveloping algebra at the $\ell$-th root of unity, where $\ell$ is an odd prime power satisfying certain reasonable conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_03319 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Quantized flag manifolds and non-restricted modules over quantum groups at roots of unity Tanisaki, Toshiyuki Representation Theory Quantum Algebra We give a proof of Lusztig's conjectural multiplicity formula for non-restricted modules over the De Concini-Kac type quantized enveloping algebra at the $\ell$-th root of unity, where $\ell$ is an odd prime power satisfying certain reasonable conditions. |
| title | Quantized flag manifolds and non-restricted modules over quantum groups at roots of unity |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2109.03319 |