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On dimensions of RoCK
blocks of cyclotomic quiver Hecke superalgebras
Alexander Kleshchev |
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Vol. 336 (2025), No. 1-2, 191–215
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Abstract |
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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 . |
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To the memory of Gary Seitz |
Keywords
quiver Hecke superalgebras, blocks of finite groups
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Mathematical Subject Classification
Primary: 17B10, 20C30
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Milestones
Received: 27 June 2024
Revised: 10 July 2024
Accepted: 11 July 2024
Published: 26 May 2025
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Authors |
| Alexander Kleshchev | |
| Department of Mathematics University of Oregon Eugene, OR United States |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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