155 citations · 1.4k across the 67 of their papers we have counts for
5 papers · 2 filters
Mirkovic-Vilonen polytopes and Khovanov-Lauda-Rouquier algebras
Peter Tingley, Ben Webster
We describe how Mirkovic-Vilonen polytopes arise naturally from the categorification of Lie algebras using Khovanov-Lauda-Rouquier algebras. This gives an explicit description of t…
Tensor product algebras in type A are Koszul
Ben Webster
In this note, we prove the Koszulity of the tensor product algebra defined in the author's previous work for sl(n) and a list of fundamental weights. This is achieved by constructi…
Weighted Khovanov-Lauda-Rouquier algebras
Ben Webster
In this paper, we define a generalization of Khovanov-Lauda-Rouquier algebras which we call weighted Khovanov-Lauda-Rouquier algebras. We show that these algebras carry many of the…
Canonical bases and higher representation theory
Ben Webster
This paper develops a general theory of canonical bases, and how they arise naturally in the context of categorification. As an application, we show that Lusztig's canonical basis…
Quantizations of conical symplectic resolutions I: local and global structure
Tom Braden, Nicholas Proudfoot, Ben Webster
We re-examine some topics in representation theory of Lie algebras and Springer theory in a more general context, viewing the universal enveloping algebra as an example of the sect…