Relative hard Lefschetz for Soergel bimodules

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of the European Mathematical Society

سال: 2021

ISSN: ['1435-9855', '1435-9863']

DOI: https://doi.org/10.4171/jems/1061