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

Autor: Beloshapka, Iuliya
Předmět:
Zdroj: IMRN: International Mathematics Research Notices; Oct2020, Vol. 2020 Issue 20, p7175-7217, 43p
Abstrakt: We study a coarse moduli space of irreducible representations of the group of unipotent matrices of order |$4$| over the ring of integers that have finite weight. All such representations are known to be monomial (see [ 4 ]). 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index