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Blocks and modules for Whittaker pairs
Punita Batra, Volodymyr Mazorchuk
Inspired by recent activities on Whittaker modules over various (Lie) algebras we describe some general framework for the study of Lie algebra modules locally finite over a subalge…
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.…
A brief review of abelian categorifications
Mikhail Khovanov, Volodymyr Mazorchuk, Catharina Stroppel
This article contains a review of categorifications of semisimple representations of various rings via abelian categories and exact endofunctors on them. A simple definition of an…