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Start Over Author "Elias, Ben" Journal journal of the european mathematical society (ems publishing)
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1. Relative hard Lefschetz for Soergel bimodules.

Author

Elias, Ben and Williamson, Geordie

Subjects
*PICARD-Lefschetz theory, *COXETER groups, *MULTIPLICITY (Mathematics), *ISOMORPHISM (Mathematics), *COHOMOLOGY theory
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 two-sided cell in a Coxeter group is rigid and pivotal. [ABSTRACT FROM AUTHOR]

Published
2021
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