Relative hard Lefschetz for Soergel bimodules

DOI10.4171/JEMS/1061zbMath1475.20006arXiv1607.03271MaRDI QIDQ2039584

Geordie Williamson, Ben Elias

Publication date: 5 July 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03271

zbMATH Keywords

Coxeter systemKazhdan-Lusztig theorySoergel bimoduleshard Lefschetz theorem

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

Finitary birepresentations of finitary bicategories ⋮ Categorifying Hecke algebras at prime roots of unity, part I ⋮ Simple transitive 2‐representations of Soergel bimodules for finite Coxeter types ⋮ Actions of \(\mathfrak{sl}_2\) on algebras appearing in categorification ⋮ IntroSurvey of representation theory

Uses Software

• Coxeter

Cites Work

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• Singular Soergel Bimodules
• The Hodge theory of algebraic maps
• Hecke Algebras with Unequal Parameters
• The Hard Lefschetz Theorem and the topology of semismall maps
• KAZHDAN-LUSZTIG-POLYNOME UND UNZERLEGBARE BIMODULN ÜBER POLYNOMRINGEN
• Multi-fusion categories of Harish-Chandra bimodules
• Soergel calculus