Monotonicity of inverse Kazhdan-Lusztig polynomials

Autor:	Baine, Joseph
Rok vydání:	2024
Předmět:	Mathematics - Representation Theory Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.11200 Zobrazit plný text záznamu View this record from Arxiv