60 citations · 582 across the 131 of their papers we have counts for
4 papers · 2 filters
Additive versus abelian 2-representations of fiat 2-categories
Volodymyr Mazorchuk, Vanessa Miemietz
We study connections between additive and abelian 2-representations of fiat 2-categories, describe combinatorics of 2-categories in terms of multisemigroups and determine the annih…
Category O for quantum groups
Henning Haahr Andersen, Volodymyr Mazorchuk
In this paper we study of the BGG-categories associated to quantum groups. We prove that many properties of the ordinary BGG-category for a semisimple c…
Characterization of simple highest weight modules
Volodymyr Mazorchuk, Kaiming Zhao
We prove that for simple complex finite dimensional Lie algebras, affine Kac-Moody Lie algebras, the Virasoro algebra and the Heisenberg-Virasoro algebra, simple highest weight mod…
Partitioned binary relations
Paul Martin, Volodymyr Mazorchuk
We define the category of partitioned binary relations and show that it contains many classical diagram categories, including categories of binary relations, maps, injective maps,…