2 papers
math.CO2024
Equivalence between invariance conjectures for parabolic Kazhdan-Lusztig polynomials
Paolo Sentinelli
We prove that the combinatorial invariance conjecture for parabolic Kazhdan-Lusztig polynomials, formulated by Mario Marietti, is equivalent to its restriction to maximal quotients…
math.CO2022
Wachs permutations, Bruhat order and weak order
Francesco Brenti, Paolo Sentinelli
We study the partial orders induced on Wachs and signed Wachs permutations by the Bruhat and weak orders of the symmetric and hyperoctahedral groups. We show that these orders are…