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On dimensions of RoCK blocks of cyclotomic quiver Hecke superalgebras

Published 5 Nov 2024 in math.RT | (2411.02717v1)

Abstract: 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 AA.

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