Specht modules labelled by hook bipartitions II

Louise Sutton

doi:10.1016/j.jpaa.2019.106204

Specht modules labelled by hook bipartitions II

Louise Sutton

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We continue the study of Specht modules labelled by hook bipartitions for the Iwahori–Hecke algebra of type B with $e\in\{3,4,\dots,\}$ via the cyclotomic Khovanov–Lauda–Rouquier algebra $\mathscr{H}_n^{\Lambda}$. Over an arbitrary field, we explicitly determine the graded decomposition submatrices for $\mathscr{H}_n^{\Lambda}$ comprising rows corresponding to hook bipartitions.

Original language	English
Article number	106204
Number of pages	38
Journal	Journal of Pure and Applied Algebra
Volume	224
Issue number	4
Early online date	12 Aug 2019
DOIs	https://doi.org/10.1016/j.jpaa.2019.106204
Publication status	Published - Apr 2020

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10.1016/j.jpaa.2019.106204

https://arxiv.org/pdf/1709.09251.pdf

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title = "Specht modules labelled by hook bipartitions II",

abstract = "We continue the study of Specht modules labelled by hook bipartitions for the Iwahori–Hecke algebra of type B with $e\in\{3,4,\dots,\}$ via the cyclotomic Khovanov–Lauda–Rouquier algebra $\mathscr{H}_n^{\Lambda}$. Over an arbitrary field, we explicitly determine the graded decomposition submatrices for $\mathscr{H}_n^{\Lambda}$ comprising rows corresponding to hook bipartitions.",

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Specht modules labelled by hook bipartitions II

Abstract

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