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  Irreducible representations of the group of unipotent matrices of order 4 over integers

Beloshapka, I. (2020). Irreducible representations of the group of unipotent matrices of order 4 over integers. International Mathematics Research Notices, 2020(20), 7175-7217. doi:10.1093/imrn/rny207.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-9C3D-7 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-1278-7
Genre: Journal Article
Latex : Irreducible representations of the group of unipotent matrices of order $4$ over integers

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 Creators:
Beloshapka, Iuliya1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory
 Abstract: We study a coarse moduli space of irreducible representations of the group of
unipotent matrices of order $\mathbb{4}$ over the ring of integers which have
finite weight. All such representations are known to be monomial. To describe a
coarse moduli space of such representations, we need to study pairs of
subgroups and their characters, which induce non-isomorphic irreducible
representations. We obtain a full classification of such pairs and,
respectively, a coarse moduli space.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 43
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1801.00312
DOI: 10.1093/imrn/rny207
 Degree: -

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Title: International Mathematics Research Notices
  Abbreviation : IMRN
Source Genre: Journal
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Publ. Info: Oxford University Press
Pages: - Volume / Issue: 2020 (20) Sequence Number: - Start / End Page: 7175 - 7217 Identifier: -