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arXiv · 1607.03271

Relative hard Lefschetz for Soergel bimodules

Ben Elias·Geordie Williamson
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Abstract

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 2-sided cell in a Coxeter group is rigid and pivotal.

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BibTeXRIS

Ben Elias, Geordie Williamson. 2016-07-12. Relative hard Lefschetz for Soergel bimodules. https://arxiv.org/abs/1607.03271

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