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The combinatorial invariance conjecture for parabolic Kazhdan-Lusztig polynomials of lower intervals (1807.02369v1)
Published 6 Jul 2018 in math.CO and math.RT
Abstract: The aim of this work is to prove a conjecture related to the Combinatorial Invariance Conjecture of Kazhdan-Lusztig polynomials, in the parabolic setting, for lower intervals in every arbitrary Coxeter group. This result improves and generalizes, among other results, the main results of [Advances in Math. {202} (2006), 555-601], [Trans. Amer. Math. Soc. {368} (2016), no. 7, 5247--5269].