Inducing \(W\)-graphs. II.

DOI10.1007/s00229-004-0508-3zbMath1108.20002OpenAlexW2065686420MaRDI QIDQ706185

Yunchuan Yin, Robert B. Howlett

Publication date: 2 February 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-004-0508-3

zbMATH Keywords

algorithmsHecke algebrasCoxeter groupsKazhdan-Lusztig cellsinduced modules\(W\)-graphsIwahori-Hecke algebrasleft cell representations

Mathematics Subject Classification ID

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

Related Items (7)

Gelfand \(W\)-graphs for classical Weyl groups ⋮ Perfect models and Gelfand W-graphs ⋮ ON CANONICAL BASES AND INDUCTION OF -GRAPHS ⋮ \(W\)-graph versions of tensoring with the \(\mathcal S_n\) defining representation. ⋮ Quantum Schur-Weyl duality and projected canonical bases. ⋮ PyCox: computing with (finite) Coxeter groups and Iwahori–Hecke algebras ⋮ Bar operators for quasiparabolic conjugacy classes in a Coxeter group.

Cites Work

• Representations of Coxeter groups and Hecke algebras
• Parabolic generalization of Kazhdan-Lusztig polynomials and bases
• \(J\)-chains and multichains, duality of Hecke modules, and formulas for parabolic Kazhdan-Lusztig polynomials
• Inducing \(W\)-graphs.
• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS
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