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math.RT2024
Some aspects of the theory of nodal orders
Igor Burban, Yuriy Drozd
In this paper, we elaborate ring theoretic properties of nodal orders. In particular, we prove that they are closed under taking crossed products with finite groups.
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…