78 citations · 347 across the 30 of their papers we have counts for
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math.RT2012
On an analogue of the James conjecture
Geordie Williamson
We give a counterexample to the most optimistic analogue (due to Kleshchev and Ram) of the James conjecture for Khovanov-Lauda-Rouquier algebras associated to simply-laced Dynkin d…
math.RT2012★ 5 cited
The Hodge theory of Soergel bimodules
Ben Elias, Geordie Williamson
We prove Soergel's conjecture on the characters of indecomposable Soergel bimodules. We deduce that Kazhdan-Lusztig polynomials have positive coefficients for arbitrary Coxeter sys…
math.RT2012★ 20 cited
Standard objects in 2-braid groups
Nicolas Libedinsky, Geordie Williamson
For any Coxeter system we establish the existence (conjectured by Rouquier) of analogues of standard and costandard objects in 2-braid groups. This generalizes a known extension va…