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math.RT2024
(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…
math.RT2024
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…
math.RT2024
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…