bruhat order 1kazhdan-lusztig polynomials 1palindromic polynomials 1poincaré polynomials 1type a intervals 1type b Coxeter groups 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
Palindromic Poincaré polynomials in Type
Gaston Burrull
The paper classifies all palindromic Poincaré polynomials for Coxeter groups of type Bₙ and shows that every lower Bruhat interval, and consequently every Poincaré and Kazhdan–Lusz…
math.CO2025
Asymptotic Log-concavity of Dominant Lower Bruhat Intervals via Brunn--Minkowski Inequality
Gaston Burrull, Tao Gui, Hongsheng Hu
Björner and Ekedahl [Ann. of Math. (2), 170.2(2009), pp. 799--817] pioneered the study of length-counting sequences associated with parabolic lower Bruhat intervals in crystallogr…
math.CO2025
Shape and class of Bruhat Intervals
Gaston Burrull, Nicolas Libedinsky, Rodrigo Villegas
We study Bruhat intervals in affine Weyl groups by viewing them as regions of alcoves. In type we show that each interval coincides with a generalized permutohedr…