72 citations · 655 across the 57 of their papers we have counts for
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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…
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…
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…