60 citations · 582 across the 131 of their papers we have counts for
9 papers · 1 filter
A new approach to Kostant's problem
Johan Kåhrström, Volodymyr Mazorchuk
For every involution of the symmetric group we establish, in terms ofa special canonical quotient of the dominant Verma module associated with , an e…
On the irreducible representations of a finite semigroup
Olexandr Ganyushkin, Volodymyr Mazorchuk, Benjamin Steinberg
Work of Clifford, Munn and Ponizovski{\uı} parameterized the irreducible representations of a finite semigroup in terms of the irreducible representations of its maximal subgroups.…
Combinatorial Gelfand models for some semigroups and q-rook monoid algebras
Ganna Kudryavtseva, Volodymyr Mazorchuk
Inspired by the results of [R. Adin, A. Postnikov, Y. Roichman, Combinatorial Gelfand model, preprint math.RT arXiv:0709.3962], we propose combinatorial Gelfand models for semigrou…
On three approaches to conjugacy in semigroups
Ganna Kudryavtseva, Volodymyr Mazorchuk
We compare three approaches to the notion of conjugacy for semigroups, the first one via the transitive closure of the relation, the second one via an action of inverse…
A combinatorial approach to functorial quantum sl(k) knot invariants
Volodymyr Mazorchuk, Catharina Stroppel
This paper contains a categorification of the sl(k) link invariant using parabolic singular blocks of category O. Our approach is intended to be as elementary as possible, providin…
Categorification of Wedderburn's basis for \mathbb{C}[S_n]
Volodymyr Mazorchuk, Catharina Stroppel
M. Neunh{ö}ffer studies in \cite{Ne} a certain basis of with the origins in \cite{Lu} and shows that this basis is in fact Wedderburn's basis. In particular, in t…