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Uglov bipartitions and extended Young diagrams

Published 4 Mar 2019 in math.RT and math.CO | (1903.01109v1)

Abstract: We study the class of Uglov bipartitions and prove a generalization of a conjecture by Dipper, James and Murphy. We give two consequences concerning the computation of canonical bases in affine type A and the description of decomposition matrices for Hecke algebras of type Bn in arbitrary characteristic.

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