Uglov bipartitions and extended Young diagrams

2019/03/04 by Nicolas Jacon, Jacon, Nicolas
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT

paper · pdf · doi:10.48550/arxiv.1903.01109

arxiv created 2019/03/04 · arxiv updated 2019/03/05

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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