3 papers
math.RT2026
Representation theory of the real Gelfand order and real Harish-Chandra modules for $\mathsf{SL}_2(\mathbbm{R})$
Igor Burban, Yuriy Drozd
In this article we study the principal block of the category of real Harish-Chandra modules for the group $\mathsf{SL}_2(\RR)$ and relate it to the category of finite dimensional m…
math.RT2026
On representations of algebras with radical square zero
Yuriy A. Drozd
We consider a new correspondence between representations of algebras with radical square zero and representations of species. We show that the stable category of representations of…
math.AC2025
Injective modules over pseudo-krullian orders
Yuriy A. Drozd
We introduce a new class of rings, pseudo-krullian orders, consider the Serre quotients of their module categories with respect to pseudo-isomorphisms and describe injective object…