Computational construction of irreducible \(W\)-graphs for types \(E_6\) and \(E_7\).

DOI10.1016/j.jalgebra.2008.12.018zbMath1166.20010OpenAlexW2092592896MaRDI QIDQ1024377

Yunchuan Yin, Robert B. Howlett

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.12.018

zbMATH Keywords

Hecke algebrasfinite Coxeter groupsirreducible representationscharacter tablesMagmaKazhdan-Lusztig cells\(W\)-graphs

Mathematics Subject Classification ID

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

Related Items

Invariant Bilinear Forms on W-Graph Representations and Linear Algebra Over Integral Domains ⋮ PyCox: computing with (finite) Coxeter groups and Iwahori–Hecke algebras ⋮ On the Kazhdan–Lusztig cells in type $E_8$

Uses Software

• Magma

Cites Work

• On the existence of a W-graph for an irreducible representation of a Coxeter group
• 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.
• The classes and representations of the groups of 27 lines and 28 bitangents
• IrreducibleW-Graphs for TypeD₄andD₅