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

Beloshapka, Iuliya

doi:10.1093/imrn/rny207

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

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Beloshapka, Iuliya
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1093/imrn/rny207
(Publisher version)

https://doi.org/10.48550/arXiv.1801.00312
(Preprint)

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MPIM Preprint series 2018-24.pdf
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Citation

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.

Cite as: https://hdl.handle.net/21.11116/0000-0006-9C3D-7

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.