Partial and global representations of finite groups
Representation Theory
2022-05-25 v1 Combinatorics
Group Theory
Abstract
Given a subgroup H of a finite group G, we begin a systematic study of the partial representations of G that restrict to global representations of H. After adapting several results from [DEP00] (which correspond to the case where H is trivial), we develop further an effective theory that allows explicit computations. As a case study, we apply our theory to the symmetric group and its subgroup of permutations fixing 1: this provides a natural extension of the classical representation theory of the symmetric group.
Cite
@article{arxiv.2005.09465,
title = {Partial and global representations of finite groups},
author = {Michele D'Adderio and William Hautekiet and Paolo Saracco and Joost Vercruysse},
journal= {arXiv preprint arXiv:2005.09465},
year = {2022}
}
Comments
31 pages