5 papers · 1 filter
A remarkable functor on -modules
Joe Baine, Tasman Fell, Anna Romanov +2
We introduce a new functor on categories of modular representations of reductive algebraic groups. Our functor has remarkable properties. For example it is a tensor functor and sen…
The geometry of tilting composition series via Richardson varieties
Joseph Baine, Chris Hone
We prove the (graded) Jordan--Hölder multiplicities of (mixed) tilting sheaves on flag varieties admit a geometric interpretation as the hypercohomology of certain sheaves on Rich…
(Co)Minuscule Hecke categories
Joseph Baine
We determine the p-Kazhdan-Lusztig bases for antispherical (co)minuscule Hecke categories in all characteristics, and for spherical (co)minuscule Hecke categories in good character…
Monotonicity of inverse Kazhdan-Lusztig polynomials
Joseph Baine
For arbitrary Coxeter systems, we prove that inverse Kazhdan-Lusztig polynomials satisfy a monotonicity property. This follows from the validity of Soergel's conjecture and the exi…
On the coefficients in the Jones-Wenzl idempotent
J. Baine
By studying a categorification of the antisymmetriser quasi-idempotent in the Hecke algebra, we derive a closed formula for the Jones-Wenzl idempotent in the Temperley-Lieb algebra…