Partial and global representations of finite groups

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.

31 pages

References in corpus (1)

• Globalization for geometric partial comodules

Cited by in corpus (2)

• Geometric partial comodules over flat coalgebras in Abelian categories are globalizable
• Partial monoid actions on objects in categories with pullbacks and their globalizations