Scopes reduction and Morita equivalence classes of blocks in finite classical groups

DOI10.1006/jabr.2000.8319zbMath0961.20036OpenAlexW4213042261MaRDI QIDQ1582235

Gerhard Hiss, Radha Kessar

Publication date: 21 February 2001

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

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:ca4fc2f9-163e-49bd-94b6-369e6a6fc952

zbMATH Keywords

Morita equivalencesdefect groupssource algebrasunipotent blocksunipotent charactersinterior algebrasHarish-Chandra inductionLusztig series

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Related Items

Conjectures of Donovan and Puig for Principal 3-Blocks with Abelian Defect Groups ⋮ Restricting unipotent characters in special orthogonal groups ⋮ Splendid Morita equivalences for principal blocks with generalised quaternion defect groups ⋮ Refined Gelfand models for wreath products ⋮ Decomposition numbers of \(\mathrm{SO}_7(q)\) and \(\mathrm{Sp}_6(q)\). ⋮ 2-blocks with abelian defect groups. ⋮ Splendid Morita equivalences for principal blocks with semidihedral defect groups ⋮ Scopes reduction and Morita equivalence classes of blocks in finite classical groups. II. ⋮ The structure of blocks with a Klein four defect group. ⋮ Splendid Morita equivalences for principal 2-blocks with dihedral defect groups ⋮ Restricting the Steinberg character in finite symplectic groups ⋮ Crossover Morita equivalences for blocks of the covering groups of the symmetric and alternating groups ⋮ Imprimitive irreducible modules for finite quasisimple groups ⋮ The Steinberg Character of Finite Classical Groups ⋮ On Rouquier blocks for finite classical groups at linear primes.

Uses Software

• GAP
• CHEVIE

Cites Work

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