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キーワード:
Mathematics, Representation Theory
要旨:
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.
