60 citations · 582 across the 131 of their papers we have counts for
9 papers · 1 filter
G(l,k,d)-modules via groupoids
Volodymyr Mazorchuk, Catharina Stroppel
In this note we describe a seemingly new approach to the complex representation theory of the wreath product where is a finite abelian group. The approach is motivat…
Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules
Kevin Coulembier, Volodymyr Mazorchuk
We prove that the categories of Gelfand-Zeitlin modules of and Whittaker modules associated with a semi-simple complex finite-dimensional algebra $\m…
Isotypic faithful -representations of -simple fiat -categories
Volodymyr Mazorchuk, Vanessa Miemietz
We introduce the class of isotypic -representations for finitary -categories and the notion of inflation of -representations. Under some natural assumptions we show that i…
Simple weight modules over weak Generalized Weyl algebras
Rencai Lu, Volodymyr Mazorchuk, Kaiming Zhao
In this paper we address the problem of classification of simple weight modules over weak generalized Weyl algebras of rank one. The principal difference between weak generalized W…
Transitive 2-representations of finitary 2-categories
Volodymyr Mazorchuk, Vanessa Miemietz
In this article, we define and study the class of simple transitive -representations of finitary -categories. We prove a weak version of the classical Jordan-Hölder Theorem w…
Some homological properties of category O. III
Kevin Coulembier, Volodymyr Mazorchuk
We prove that thick category associated to a semi-simple complex finite dimensional Lie algebra is extension full in the category of all modules. We also prove the we…