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Relative hard Lefschetz for Soergel bimodules
Journal of the European Mathematical Society ( IF 2.5 ) Pub Date : 2021-03-30 , DOI: 10.4171/jems/1061
Ben Elias 1 , Geordie Williamson 2
Affiliation  

We prove the relative hard Lefschetz theorem for Soergel bimodules. It follows that the structure constants of the Kazhdan–Lusztig basis are unimodal. We explain why the relative hard Lefschetz theorem implies that the tensor category associated by Lusztig to any two-sided cell in a Coxeter group is rigid and pivotal.

中文翻译:

Soergel 双模块的相对硬 Lefschetz

我们证明了 Soergel 双模的相对困难的 Lefschetz 定理。因此,Kazhdan-Lusztig 基的结构常数是单峰的。我们解释了为什么相对困难的 Lefschetz 定理意味着 Lusztig 与 Coxeter 群中任何两侧单元相关联的张量类别是刚性和关键的。
更新日期:2021-06-02
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