arXiv subjects

Jasdeep Singh Kochhar

Publications and source records attributed to Jasdeep Singh Kochhar.

2 recordsLinked to original sources

arXiv2018

Vertices of modules and decomposition numbers of $C_2 \wr S_n$

Given $n \in \mathbf{N},$ consider the imprimitive wreath product $C_2 \wr S_n.$ We study the structure of modules whose ordinary characters form an involution model of $FC_2 \wr S_n,$ where $F$ is a field of odd prime characteristic. We classify the vertices of these modules in this case. We then use this classification of the vertices to describe certain columns of the decomposition matrix of $C_2 \wr S_n.$

math.RT↗

arXiv2017

Endomorphism Rings of Some Young Modules

Let $Σ_r$ be the symmetric group acting on $r$ letters, $K$ be a field of characteristic 2 and $λ$ and $μ$ be partitions of $r$ in at most two parts. Denote the permutation module corresponding to the Young subgroup $Σ_λ$ in $Σ_r$ by $M^λ$, and the indecomposable Young module by $Y^μ$. We give an explicit presentation of the endomorphism algebra ${\rm End}_{K[Σ_r]}(Y^μ)$, using the idempotents found by Doty, Erdmann and Henke in [1].

math.RT↗