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

DOI10.1090/S1088-4165-2014-00452-7zbMath1307.20007arXiv1211.5394WikidataQ123023628 ScholiaQ123023628MaRDI QIDQ2922911

Eric Marberg

Publication date: 15 October 2014

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5394

zbMATH Keywords

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

Mathematics Subject Classification ID

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

Related Items (10)

Involution words. II: Braid relations and atomic structures ⋮ Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures ⋮ Integral \(u\)-deformed involution modules ⋮ On involutions in symmetric groups and a conjecture of Lusztig. ⋮ A word property for twisted involutions in Coxeter groups ⋮ On involutions in Weyl groups ⋮ Affine transitions for involution Stanley symmetric functions ⋮ Comparing and characterizing some constructions of canonical bases from Coxeter systems ⋮ A symplectic refinement of shifted Hecke insertion ⋮ Schur $P$-positivity and Involution Stanley Symmetric Functions

Uses Software

• Coxeter

Cites Work

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