60 citations · 582 across the 131 of their papers we have counts for
7 papers · 2 filters
Indecomposable manipulations with simple modules in category O
Kevin Coulembier, Volodymyr Mazorchuk, Xiaoting Zhang
We study the problem of indecomposability of translations of simple modules in the principal block of BGG category for , as conjectured in \cite{KiM}…
Canonical Gelfand-Zeitlin modules over orthogonal Gelfand-Zeitlin algebras
Nick Early, Volodymyr Mazorchuk, Elizaveta Vishnyakova
We prove that every orthogonal Gelfand-Zeitlin algebra acts on its Gelfand-Zeitlin subalgebra . Considering the dual module, we show that every Gelfand-Zeitlin character of…
Pyramids and 2-representations
Volodymyr Mazorchuk, Vanessa Miemietz, Xiaoting Zhang
We describe a diagrammatic procedure which lifts strict monoidal actions from additive categories to categories of complexes avoiding any use of direct sums. As an application, we…
Classification problems in 2-representation theory
Volodymyr Mazorchuk
This article surveys recent advances and future challenges in the -representation theory of finitary -categories with a particular emphasis on problems related to classificat…
Bimodules over uniformly oriented A_n quivers with radical square zero
Volodymyr Mazorchuk, Xiaoting Zhang
We start with observing that the only connected finite dimensional algebras with finitely many isomorphism classes of indecomposable bimodules are the quotients of the path algebra…
The G-centre and gradable derived equivalences
Kevin Coulembier, Volodymyr Mazorchuk
We propose a generalisation for the notion of the centre of an algebra in the setup of algebras graded by an arbitrary abelian group G. Our generalisation, which we call the G-cent…