Comparing and characterizing some constructions of canonical bases from Coxeter systems

DOI10.1007/978-3-319-23443-4_14zbMath1343.20009arXiv1403.4013OpenAlexW3098592078MaRDI QIDQ2813599

Eric Marberg

Publication date: 24 June 2016

Published in: Representations of Reductive Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4013

zbMATH Keywords

Kazhdan-Lusztig basesCoxeter groupscanonical basesIwahori-Hecke algebrastwisted involutionspre-canonical structures

Mathematics Subject Classification ID

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

Related Items (2)

Gelfand \(W\)-graphs for classical Weyl groups ⋮ Bar operators for quasiparabolic conjugacy classes in a Coxeter group.

Cites Work

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• Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the finite case.
• The Hodge theory of Soergel bimodules.
• Bruhat order on the involutions of classical Weyl groups.
• Twisted identities in Coxeter groups.
• Representations of Coxeter groups and Hecke algebras
• Canonical bases for Hecke algebra quotients
• The Bruhat order on the involutions of the symmetric group
• \(P\)-kernels, IC bases and Kazhdan-Lusztig polynomials
• Twisted incidence algebras and Kazhdan-Lusztig-Stanley functions
• Fixed points of involutive automorphisms of the Bruhat order
• Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the universal case
• The combinatorics of twisted involutions in Coxeter groups
• Subdivisions and Local h-Vectors
• Canonical bases and higher representation theory

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