60 citations · 582 across the 131 of their papers we have counts for
6 papers · 2 filters
Categorification of the Catalan monoid
Anna-Louise Grensing, Volodymyr Mazorchuk
We construct a finitary additive 2-category whose Grothendieck ring is isomorphic to the semigroup algebra of the monoid of order-decreasing and order-preserving transformations of…
Simple Virasoro modules induced from codimension one subalgebras of the positive part
Volodymyr Mazorchuk, Emilie Wiesner
We construct a new five-parameter family of simple modules over the Virasoro Lie algebra.
Endomorphisms of cell 2-representations
Volodymyr Mazorchuk, Vanessa Miemietz
We determine the endomorphism categories of cell 2-representations of fiat 2-categories associated with strongly regular two-sided cells under some natural assumptions. Along the w…
Weight modules over infinite dimensional Weyl algebras
Vyacheslav Futorny, Dimitar Grantcharov, Volodymyr Mazorchuk
We classify simple weight modules over infinite dimensional Weyl algebras and realize them using the action on certain localizations of the polynomial ring. We describe indecomposa…
On the representation theory of partial Brauer algebras
Paul Martin, Volodymyr Mazorchuk
In this paper we study the partial Brauer -algebras , where and . We show that these algebras are genericall…
Simple Virasoro modules which are locally finite over a positive part
Volodymyr Mazorchuk, Kaiming Zhao
We propose a very general construction of simple Virasoro modules generalizing and including both highest weight and Whittaker modules. This reduces the problem of classification o…