On the computation of Kazhdan-Lusztig polynomials and representations of Hecke algebras

DOI10.1007/BF01323981zbMath0854.20058OpenAlexW2062148837MaRDI QIDQ1924604

Jens Rosenboom

Publication date: 20 October 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01323981

zbMATH Keywords

algorithmcomputationsfinite Coxeter groupsKazhdan-Lusztig polynomialsleft cell representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of finite groups of Lie type (20C33)

Related Items

The state of the art in the computation of Kazhdan-Lusztig polynomials

Uses Software

• GAP
• CHEVIE

Cites Work

• Unnamed Item
• Cells in affine Weyl groups. II
• On Lusztig's isomorphism theorem for Hecke algebras
• Relations between Young's natural and the Kazhdan-Lusztig representations of \(S_ n\)
• Representations of Coxeter groups and Hecke algebras
• A Frobenius formula for the characters of the Hecke algebras
• On the irreducible characters of Hecke algebras
• The socle filtration of a Verma module