\(W\)-graph ideals.

DOI10.1016/j.jalgebra.2012.03.027zbMath1271.20002arXiv1012.1066OpenAlexW2055415655MaRDI QIDQ1931691

Van Minh Nguyen, Robert B. Howlett

Publication date: 15 January 2013

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

Full work available at URL: https://arxiv.org/abs/1012.1066

zbMATH Keywords

Hecke algebrasSpecht modulesCoxeter groupsKazhdan-Lusztig polynomials\(W\)-graphs\(W\)-graph ideals

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (7)

Minimal determining sets for certain $W$-graph ideals ⋮ W-graph ideals. II. ⋮ On ordered k-paths and rims for certain families of Kazhdan–Lusztig cells of Sn ⋮ \(W\)-graph ideals and biideals ⋮ \(W\)-graph ideals and duality ⋮ A reducible characteristic variety in type A ⋮ \(W\)-graphs for Hecke algebras with unequal parameters.

Uses Software

• Magma

Cites Work

• On the existence of a W-graph for an irreducible representation of a Coxeter group
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Representations of Coxeter groups and Hecke algebras
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• The Magma algebra system. I: The user language
• Inducing \(W\)-graphs.
• W-graph ideals. II.
• Representations of Hecke Algebras of General Linear Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(W\)-graph ideals.