The Hodge theory of Soergel bimodules

• 成果类型: Article
• 署名作者: Elias, Ben; Williamson, Geordie
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.180.3.6
• 发表日期: 2014
• 页码: 1089-1136
• 关键词: hard lefschetz theorem; combinatorics; REPRESENTATIONS

摘要

We prove Soergel's conjecture on the characters of indecomposable Soergel bimodules. We deduce that Kazhdan-Lusztig polynomials have positive coefficients for arbitrary Coxeter systems. Using results of Soergel one may deduce an algebraic proof of the Kazhdan-Lusztig conjecture.