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

2017/12/31 by Iuliya Beloshapka, Beloshapka, Iuliya
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1801.00312

Abstract

We study a coarse moduli space of irreducible representations of the group of unipotent matrices of order \mathbb4 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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