On dimensions of RoCK blocks of cyclotomic quiver Hecke superalgebras
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916468376993792 |
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| author | Kleshchev, Alexander |
| author_facet | Kleshchev, Alexander |
| contents | We explicitly compute the dimensions of certain idempotent truncations of RoCK blocks of cyclotomic quiver Hecke superalgebras. Equivalently, this amounts to a computation of the value of the Shapovalov form on certain explicit vectors in the basic representations of twisted affine Kac-Moody Lie algebras of type $A$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02717 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On dimensions of RoCK blocks of cyclotomic quiver Hecke superalgebras Kleshchev, Alexander Representation Theory 20C30, 17B10 We explicitly compute the dimensions of certain idempotent truncations of RoCK blocks of cyclotomic quiver Hecke superalgebras. Equivalently, this amounts to a computation of the value of the Shapovalov form on certain explicit vectors in the basic representations of twisted affine Kac-Moody Lie algebras of type $A$. |
| title | On dimensions of RoCK blocks of cyclotomic quiver Hecke superalgebras |
| topic | Representation Theory 20C30, 17B10 |
| url | https://arxiv.org/abs/2411.02717 |