Cells and \(q\)-Schur algebras

DOI10.1007/BF01237838zbMath0912.20008MaRDI QIDQ1383875

Brian J. Parshall, Leonard L. Scott, Jie Du

Publication date: 21 June 1998

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

Hecke algebrasKazhdan-Lusztig basesgeneral linear groupsendomorphism ringsSchur algebrasrepresentations of symmetric groupsSchur-Weyl dualitycells

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items (8)

Two-sided cells in type \(B\) (asymptotic case). ⋮ Local and global methods in representations of Hecke algebras ⋮ RSK bases and Kazhdan-Lusztig cells ⋮ Quasi-hereditary slim cyclotomic \(q\)-Schur algebras ⋮ Generic and \(q\)-rational representation theory ⋮ Extensions, Levi subgroups and character formulas. ⋮ Stratifying endomorphism algebras associated to Hecke algebras ⋮ The 𝑞-Schur² algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Integral and graded quasi-hereditary algebras. I
• Canonical left cells in affine Weyl groups
• On a theorem of Benson and Curtis
• Kazhdan-Lusztig conjecture and holonomic systems
• Primitive ideals and orbital integrals in complex classical groups
• Representations of Coxeter groups and Hecke algebras
• Stratifying endomorphism algebras associated to Hecke algebras
• The partial order on two-sided cells of certain affine Weyl groups
• Cellular algebras
• Standard homological properties for quantum \(GL_ n\)
• The q ‐Schur Algebra
• Representations of Hecke Algebras of General Linear Groups
• Canonical Bases for Irreducible Representations of Quantum GL _n , II
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups
• Maximal Orders

This page was built for publication: Cells and \(q\)-Schur algebras