arXiv Open Access 2020

Partial and global representations of finite groups

Michele D'Adderio William Hautekiet Paolo Saracco Joost Vercruysse

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Abstrak

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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Penulis (4)

Michele D'Adderio

William Hautekiet

Paolo Saracco

Joost Vercruysse

Format Sitasi

APA MLA BibTeX

D'Adderio, M., Hautekiet, W., Saracco, P., Vercruysse, J. (2020). Partial and global representations of finite groups. https://arxiv.org/abs/2005.09465

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓