Gastón Burrull

activity

20192026

most citedCombinatorial invariance conjecture for

A_{2}

7 citations · 7 across the 5 of their papers we have counts for

collaborators

6 papers

math.CO2026

Palindromic Poincaré polynomials in $B_{n}$

Gaston Burrull

We describe the set of palindromic Poincaré polynomials in $B_{n}$ . As a key ingredient in this classification, we prove that $A_{n}$ embeds into $B_{n}$ as a lower interval in Bruhat or…

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 $A_{2}$ we show that each interval coincides with a generalized permutohedr…

math.CO2023

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 crystallogra…

math.RT2023

Strongly dominant weight polytopes are cubes

Gaston Burrull, Tao Gui, Hongsheng Hu

For any root system of rank $r$ , we study the "dominant weight polytope" $P^{λ}$ associated with a strongly dominant weight $λ$ . We prove that $P^{λ}$ is combinatorially equivalent to…

math.RT2021★ 7 cited

Combinatorial invariance conjecture for $A_{2}$

Gaston Burrull, Nicolas Libedinsky, David Plaza

The combinatorial invariance conjecture (due independently to G. Lusztig and M. Dyer) predicts that if $[x, y]$ and $[x^{'}, y^{'}]$ are isomorphic Bruhat posets (of possibly different Cox…

math.RT2019

$p$ -Jones-Wenzl idempotents

Gaston Burrull, Nicolas Libedinsky, Paolo Sentinelli

For a prime number $p$ and any natural number $n$ we introduce, by giving an explicit recursive formula, the $p$ -Jones-Wenzl projector $^{p} JW_{n}$ , an element of the…