\(W\)-graph ideals and biideals

DOI10.1007/S10801-015-0635-9zbMath1333.05316arXiv1503.00408OpenAlexW1844386419MaRDI QIDQ5964815

Van Minh Nguyen, Robert B. Howlett

Publication date: 1 March 2016

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00408

zbMATH Keywords

Hecke algebrasCoxeter groupsKazhdan-Lusztig polynomials\(W\)-graphscells

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (2)

Minimal determining sets for certain $W$-graph ideals ⋮ On ordered k-paths and rims for certain families of Kazhdan–Lusztig cells of Sn

Cites Work

• Unnamed Item
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Representations of Coxeter groups and Hecke algebras
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Inducing \(W\)-graphs.
• \(W\)-graph ideals.
• W-graph ideals. II.
• KAZHDAN–LUSZTIG CELLS AND THE MURPHY BASIS
• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS
• Hecke Algebras with Unequal Parameters

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