Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Classical Finite Transformation Semigroups: An Introduction

- Olexandr Ganyushkin, V. Mazorchuk
- Mathematics
- 3 December 2008

Ordinary and Partial Transformations.- The Semigroups T n, PT n, and IS n.- Generating Systems.- Ideals and Green ' s Relations.- Subgroups and Subsemigroups.- Other Relations on Semigroups.-… Expand

Classical finite transformation semigroups

- Olexandr Ganyushkin, V. Mazorchuk
- Mathematics
- 23 December 2008

CA, MA, NJ, NY, and PA residents, please add sales tax. Canadian residents, please add 5% GST. Please add $5.00 for shipping one book and $1.00 for each additional book. Outside the US and Canada add… Expand

Simple weith modules over twisted generalized weyl algebras

- V. Mazorchuk, L. Turowska
- Mathematics
- 1999

We introduce a twisted higher rank generalization of generalized Weyl algebras and study simple weight modules over such algebras.

Quadratic duals, Koszul dual functors, and applications

- V. Mazorchuk, S. Ovsienko, C. Stroppel
- Mathematics
- 20 March 2006

This paper studies quadratic and Koszul duality for modules over positively graded categories. Typical examples are modules over a path algebra, which is graded by the path length, of a not… Expand

Cell 2-representations of finitary 2-categories

- V. Mazorchuk, Vanessa Miemietz
- Mathematics
- Compositio Mathematica
- 15 November 2010

Abstract We study 2-representations of finitary 2-categories with involution and adjunctions by functors on module categories over finite-dimensional algebras. In particular, we define, construct and… Expand

Blocks and modules for Whittaker pairs

- Punita Batra, V. Mazorchuk
- Mathematics
- 19 October 2009

Inspired by recent activities on Whittaker modules over various (Lie) algebras, we describe a general framework for the study of Lie algebra modules locally finite over a subalgebra. As a special c… Expand

Transitive 2-representations of finitary 2-categories

- V. Mazorchuk, Vanessa Miemietz
- Mathematics
- 30 April 2014

In this article, we define and study the class of simple transitive $2$-representations of finitary $2$-categories. We prove a weak version of the classical Jordan-H{\"o}lder Theorem where the weak… Expand

On the representation theory of partial Brauer algebras

- P. Martin, V. Mazorchuk
- Mathematics
- 2 May 2012

In this paper we study the partial Brauer $\mathbb{C}$-algebras $\mathfrak{R}_n(\delta,\delta')$, where $n \in \mathbb{N}$ and $\delta,\delta'\in\mathbb{C}$. We show that these algebras are… Expand

On three approaches to conjugacy in semigroups

- G. Kudryavtseva, V. Mazorchuk
- Mathematics
- 27 September 2007

We compare three approaches to the notion of conjugacy for semigroups, the first one via the transitive closure of the uv∼vu relation, the second one via an action of inverse semigroups on themselves… Expand

On Kiselman quotients of 0-Hecke monoids

- Olexandr Ganyushkin, V. Mazorchuk
- Mathematics
- 2 June 2010

Combining the definition of 0-Hecke monoids with that of Kiselman semigroups, we define what we call Kiselman quotients of 0-Hecke monoids associated with simply laced Dynkin diagrams. We classify… Expand

...

1

2

3

4

5

...