60 citations · 582 across the 131 of their papers we have counts for
7 papers · 2 filters
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…
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…
Schur-Weyl dualities for symmetric inverse semigroups
Ganna Kudryavtseva, Volodymyr Mazorchuk
We obtain Schur-Weyl dualities in which the algebras, acting on both sides, are semigroup algebras of various symmetric inverse semigroups and their deformations.
Categorification of (induced) cell modules and the rough structure of generalized Verma modules
Volodymyr Mazorchuk, Catharina Stroppel
This paper presents categorifications of (right) cell modules and induced cell modules for Hecke algebras of finite Weyl groups. In type we show that these categorifications de…