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Relative hard Lefschetz for Soergel bimodules
Published 12 Jul 2016 in math.RT, math.AG, and math.QA | (1607.03271v2)
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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