72 citations · 655 across the 57 of their papers we have counts for
7 papers · 1 filter
Braiding on type A Soergel bimodules: semistrictness and naturality
Catharina Stroppel, Paul Wedrich
We consider categories of Soergel bimodules for the symmetric groups S_n in their gl(n)-realizations for all n and assemble them into a locally linear monoidal bicategory. Chain co…
A braided monoidal -category of Soergel bimodules
Yu Leon Liu, Aaron Mazel-Gee, David Reutter +2
The Hecke algebras for all symmetric groups taken together form a braided monoidal category that controls all quantum link invariants of type A and, by extension, the standard cano…
Categorification: tangle invariants and TQFTs
Catharina Stroppel
Based on different views on the Jones polynomial we review representation theoretic categorified link and tangle invariants. We unify them in a common combinatorial framework and c…
Semisimplicity of Hecke and (walled) Brauer algebras
Henning Haahr Andersen, Catharina Stroppel, Daniel Tubbenhauer
We show how to use Jantzen's sum formula for Weyl modules to prove semisimplicity criteria for endomorphism algebras of -tilting modules (for any field a…
Cellular structures using -tilting modules
Henning Haahr Andersen, Catharina Stroppel, Daniel Tubbenhauer
We use the theory of -tilting modules to construct cellular bases for centralizer algebras. Our methods are quite general and work for any quantum group $\textbf{U}_q…
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…