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Combinatorial invariance for Kazhdan-Lusztig $R$-polynomials of elementary intervals
Published 27 Mar 2023 in math.CO and math.RT | (2303.15577v5)
Abstract: We adapt the hypercube decompositions introduced by Blundell-Buesing-Davies-Veli\v{c}kovi\'{c}-Williamson to prove the Combinatorial Invariance Conjecture for Kazhdan-Lusztig $R$-polynomials in the case of elementary intervals in $S_n$. This significantly generalizes the main previously-known case of the conjecture, that of lower intervals.
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