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arXiv · 2005.09465

Partial and global representations of finite groups

Michele D'Adderio·William Hautekiet·Paolo Saracco·Joost Vercruysse
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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.

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Michele D'Adderio, William Hautekiet, Paolo Saracco, Joost Vercruysse. 2020-05-19. Partial and global representations of finite groups. https://doi.org/10.1007/s10468-022-10136-3

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