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math.RT2024
Representations and cohomologies of the alternating group of degree 4
Yuriy Drozd, Andriana Plakosh
We describe integral representations of the alternating group , in particular, the Auslander-Reiten quiver of its 2-adic representations. Using these results we calculate Tate…
math.RT2022
Representations of Munn algebras and related semigroups
Yuriy A. Drozd, Andriana I. Plakosh
We establish representation types (finite, tame or wild) of finite dimensional Munn algebras with semisimple bases. As an application, we establish representation types of finite 0…
math.RT2022
Cohomologies of regular lattices over the Kleinian 4-group
Yuriy Drozd, Andriana Plakosh
We calculate explicitly cohomologies of the lattices over the Kleinian 4-group belonging to the regular components of the Auslander-Reiten quiver as well as of their dual modules.…