Vertices of modules and decomposition numbers of $C_2 \wr S_n$
Representation Theory
2018-11-22 v2
Abstract
Given consider the imprimitive wreath product We study the structure of modules whose ordinary characters form an involution model of where 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
Keywords
Cite
@article{arxiv.1803.00669,
title = {Vertices of modules and decomposition numbers of $C_2 \wr S_n$},
author = {Jasdeep Singh Kochhar},
journal= {arXiv preprint arXiv:1803.00669},
year = {2018}
}
Comments
29 pages, v2 with comments from referee incorporated