Some Properties of Generalized Foulkes Module

Fuente: arXiv
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Autores principales: Hegedüs, Pál, Madireddi, Sai Praveen
Formato: Preprint
Publicado: 2021
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author Hegedüs, Pál
Madireddi, Sai Praveen
author_facet Hegedüs, Pál
Madireddi, Sai Praveen
contents Describing the decomposition of Foulkes module $F_b^a$ into irreducible Specht modules is an open problem for $a,b > 3$. In this article we provide a new approach for the Generalized Foulkes module $F_ν^a$ (with arbitrary partition $ν$ of $b$) through its restriction to a maximal Young subgroup ${S_b \times S_{ab -b}}$.
format Preprint
id arxiv_https___arxiv_org_abs_2110_01055
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Some Properties of Generalized Foulkes Module
Hegedüs, Pál
Madireddi, Sai Praveen
Representation Theory
Describing the decomposition of Foulkes module $F_b^a$ into irreducible Specht modules is an open problem for $a,b > 3$. In this article we provide a new approach for the Generalized Foulkes module $F_ν^a$ (with arbitrary partition $ν$ of $b$) through its restriction to a maximal Young subgroup ${S_b \times S_{ab -b}}$.
title Some Properties of Generalized Foulkes Module
topic Representation Theory
url https://arxiv.org/abs/2110.01055