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math.RT2023
Strongly dominant weight polytopes are cubes
Gaston Burrull, Tao Gui, Hongsheng Hu
For any root system of rank , we study the "dominant weight polytope" associated with a strongly dominant weight . We prove that is combinatorially equivalent to…
math.RT2021★ 7 cited
Combinatorial invariance conjecture for
Gaston Burrull, Nicolas Libedinsky, David Plaza
The combinatorial invariance conjecture (due independently to G. Lusztig and M. Dyer) predicts that if and are isomorphic Bruhat posets (of possibly different Cox…
math.RT2019
-Jones-Wenzl idempotents
Gaston Burrull, Nicolas Libedinsky, Paolo Sentinelli
For a prime number and any natural number we introduce, by giving an explicit recursive formula, the -Jones-Wenzl projector , an element of the…