Combinatorial invariance for Kazhdan-Lusztig R-polynomials of elementary intervals
Abstract
We adapt the hypercube decompositions introduced by Blundell-Buesing-Davies-Velickovi\'c-Williamson to prove the Combinatorial Invariance Conjecture for Kazhdan-Lusztig R-polynomials in the case of elementary intervals in Sn. This significantly generalizes the main previously-known case of the conjecture, that of lower intervals.
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