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arXiv:2404.12834 [math.CO]AbstractReferencesReviewsResources

A note on Combinatorial Invariance of Kazhdan--Lusztig polynomials

Francesco Esposito, Mario Marietti

Published 2024-04-19Version 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 Invariance Conjecture of the Kazhdan--Lusztig polynomials for the symmetric group. This conjecture has the advantage of being combinatorial in nature.

Categories: math.CO, math.RT
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