3 papers
math.RA2026
Dedekind Poisson Algebras over Arbitrary Fields
A. I. Plakosh, O. O. Pypka
We study Poisson algebras in which every Poisson subalgebra is a Poisson ideal, called Dedekind Poisson algebras, over arbitrary fields and without any finite-dimensionality assump…
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.GR2017
Cohomologies of finite abelian groups
Yuriy A. Drozd, Andriana I. Plakosh
We construct a simplified resolution for the trivial G-module Z, where G is a finite abelian group, and compare it with the standard resolution. We use it to calculate cohomologies…