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math.CO2025
Flip Combinatorial Invariance and Weyl groups
Francesco Esposito, Mario Marietti, Salvatore Stella
In this work, we investigate the approach via flipclasses to the Combinatorial Invariance Conjecture for Kazhdan--Lusztig polynomials of all Coxeter groups. We prove the combinator…
math.CO2024
A note on Combinatorial Invariance of Kazhdan--Lusztig polynomials
Francesco Esposito, Mario Marietti, Grant T. Barkley +1
We introduce the concepts of an amazing hypercube decomposition and a double shortcut for it, and use these new ideas to formulate a conjecture implying the Combinatorial Invarianc…
math.CO2024
Flipclasses and Combinatorial Invariance for Kazhdan--Lusztig polynomials
Francesco Esposito, Mario Marietti
In this work, we investigate a novel approach to the Combinatorial Invariance Conjecture of Kazhdan--Lusztig polynomials for the symmetric group. Using the new concept of flipclass…