Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the finite case.

DOI10.1016/j.jalgebra.2014.04.019zbMath1307.20006arXiv1306.2980OpenAlexW2101653260WikidataQ123238250 ScholiaQ123238250MaRDI QIDQ403802

Eric Marberg

Publication date: 29 August 2014

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

Full work available at URL: https://arxiv.org/abs/1306.2980

zbMATH Keywords

Hecke algebrasCoxeter systemsKazhdan-Lusztig polynomialsdistinguished basesKazhdan-Lusztig theorypositivity conjecturestwisted involutions

Mathematics Subject Classification ID

Related Items (3)

Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the universal case ⋮ Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures ⋮ Comparing and characterizing some constructions of canonical bases from Coxeter systems

Uses Software

• Coxeter

Cites Work

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• The Hodge theory of Soergel bimodules.
• The Bruhat order on symmetric varieties
• Representations of Coxeter groups and Hecke algebras
• A transducer approach to Coxeter groups
• Positivity results for the Hecke algebras of noncrystallographic finite Coxeter groups.
• Combinatorics of Coxeter Groups
• The combinatorics of twisted involutions in Coxeter groups
• The socle filtration of a Verma module
• Hecke Algebras with Unequal Parameters
• Hecke algebras and involutions in Weyl groups
• A bar operator for involutions in a Coxeter group
• Computing Kazhdan-Lusztig Polynomials for Arbitrary Coxeter Groups

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