3 papers
math.CO2026
Non-extendably shellable skeleta of simplices
Davide Bolognini, Paolo Sentinelli
We disprove a long-standing open conjecture due to Simon stating that all skeleta of simplices are extendably shellable. In particular, for every we provide a pure -d…
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…
math.CO2016
The generalized lifting property of Bruhat intervlas
Fabrizio Caselli, Paolo Sentinelli
In [E. Tsukerman and L. Williams, {\em Bruhat Interval Polytopes}, Advances in Mathematics, 285 (2015), 766-810] it is shown that every Bruhat interval of the symmetric group satis…