Graded cellularity and the monotonicity conjecture

JOURNAL OF ALGEBRA

卷:473

Article

Plaza, David¹ 

[1] Univ Talca, Inst Matemat & Fis, Talca, Chile

关键词: Kazhdan-Lusztig polynomials;    Graded cellular algebras;    Double leaves basis;    Soergel bimodules;   

DOI  :  10.1016/j.jalgebra.2016.10.040

来源: Elsevier

【 摘 要 】

The graded cellularity of Libedinsky double leaves, which form a basis for the endomorphism ring of the Bott-SamelsonSoergel bimodules, allows us to view the Kazhdan-Lusztig polynomials as graded decomposition numbers. Using this interpretation, we can provide a proof of the monotonicity conjecture for any Coxeter system. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free