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. We study a coarse moduli space of irreducible representations of the group of unipotent matrices of order 4 over the ring of integers which have finite weight. All such representations are known to be monomial (see [2]). To describe a coarse moduli space of such representations, we need to study pairs of subgroups and their characters, which induce nonisomorphic irreducible representations. We obtain a full classification of such pairs and, respectively, a coarse moduli space.

Irreducible Representations of the Group of Unipotent Matrices of Order 4 over Integers