Monotonicity of inverse Kazhdan-Lusztig polynomials

Proceedings of the American Mathematical Society 2026 Open access

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Authors: Joseph Baine
DOI: 10.1090/proc/17475
Cited by: 0

Abstract

For arbitrary Coxeter systems, we prove that inverse Kazhdan-Lusztig polynomials satisfy a monotonicity property. This follows from the validity of Soergel’s conjecture and the existence of injective morphisms between Rouquier complexes in the mixed perverse Hecke category. The monotonicity property is generalised to parabolic Kazhdan-Lusztig polynomials.

Fields of Study & Subjects

Mathematical functions and polynomials Advanced Mathematical Identities Analytic and geometric function theory

Publication details

Journal / source
Proceedings of the American Mathematical Society
Volume
154
Issue
6
Pages
2305–2318
Publication date
13 April 2026
Language
EN