Equivalences between Soergel conjectures.

DOI10.1016/j.jalgebra.2008.05.030zbMath1197.20004arXiv0802.3031OpenAlexW2045839404WikidataQ123151548 ScholiaQ123151548MaRDI QIDQ958053

Nicolas Libedinsky

Publication date: 2 December 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.3031

zbMATH Keywords

Kazhdan-Lusztig theorySoergel bimodules

Mathematics Subject Classification ID

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

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Kazhdan–Lusztig Conjectures and Shadows of Hodge Theory ⋮ The 2-braid group and Garside normal form ⋮ Standard objects in 2-braid groups ⋮ Koszul duality and Soergel bimodules for dihedral groups ⋮ IntroSurvey of representation theory ⋮ New bases of some Hecke algebras via Soergel bimodules. ⋮ Khovanov-Rozansky homology and 2-braid groups ⋮ Kazhdan-Lusztig polynomials and subexpressions ⋮ The Hodge theory of Soergel bimodules. ⋮ Simple transitive 2-representations of small quotients of Soergel bimodules ⋮ On the Soergel bimodule category. ⋮ Diagrammatics for Soergel categories ⋮ Presentation of right-angled Soergel categories by generators and relations. ⋮ Gentle introduction to Soergel bimodules. I: The basics ⋮ Jucys-Murphy elements for Soergel bimodules ⋮ Light leaves and Lusztig's conjecture

Cites Work

• On the Soergel bimodule category.
• On the relation between intersection cohomology and representation theory in positive characteristic.
• The combinatorics of Harish-Chandra bimodules.
• KAZHDAN-LUSZTIG-POLYNOME UND UNZERLEGBARE BIMODULN ÜBER POLYNOMRINGEN

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