Kazhdan-Lusztig polynomials and subexpressions

Published 31 Mar 2020 in math.CO and math.RT | (2004.00045v1)

Abstract: We refine an idea of Deodhar, whose goal is a counting formula for Kazhdan-Lusztig polynomials. This is a consequence of a simple observation that one can use the solution of Soergel's conjecture to make ambiguities involved in defining certain morphisms between Soergel bimodules in characteristic zero (double leaves) disappear.

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