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Mathematics > Combinatorics

Title: A note on Combinatorial Invariance of Kazhdan--Lusztig polynomials

Authors: Francesco Esposito, Mario Marietti
(Submitted on 19 Apr 2024)
Abstract: 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.
Subjects: Combinatorics (math.CO); Representation Theory (math.RT)
Cite as: arXiv:2404.12834 [math.CO]
  (or arXiv:2404.12834v1 [math.CO] for this version)

Submission history

From: Mario Marietti [view email]
[v1] Fri, 19 Apr 2024 12:16:57 GMT (5kb)
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