The Steinberg Character of Finite Classical Groups

DOI10.1142/S100538671300014XzbMath1279.20019OpenAlexW2168194079MaRDI QIDQ2859278

Xueling Song, Yanjun Liu

Publication date: 7 November 2013

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

Full work available at URL: https://doi.org/10.1142/s100538671300014x

zbMATH Keywords

partitionsblocksclassical groupssymbolsSteinberg characters

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (2)

Decomposition numbers and global properties ⋮ Degrees of characters in the principal block

Cites Work

• The number of trivial composition factors of the Steinberg module
• Irreducible representations of finite classical groups
• Scopes reduction and Morita equivalence classes of blocks in finite classical groups
• Scopes reduction and Morita equivalence classes of blocks in finite classical groups. II.
• The blocks of finite general linear and unitary groups
• Block separations and inclusions.

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