Specht modules labelled by hook bipartitions II

2017/09/26 by Louise Sutton, Sutton, Louise
Mathematics · Chemistry · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.1709.09251

Abstract

We continue the study of Specht modules labelled by hook bipartitions for the Iwahori--Hecke algebra of type B with e∈\3,4,…\ via the cyclotomic Khovanov--Lauda--Rouquier algebra \mathscrH_n^Λ. Over an arbitrary field, we explicitly determine the graded decomposition submatrices for \mathscrH_n^Λ comprising rows corresponding to hook bipartitions.

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