Lower bounds for degrees of irreducible Brauer characters of finite general linear groups

DOI10.1006/jabr.1999.8118zbMath0954.20022OpenAlexW2048816865MaRDI QIDQ1970974

Jonathan Brundan, Alexander S. Kleshchev

Publication date: 8 February 2001

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

Full work available at URL: https://semanticscholar.org/paper/cc1836b15a0315f60042c07b63b51829e8f068fc

zbMATH Keywords

general linear groupsGreen's hook formulairreducible \(p\)-modular Brauer charactersirreducible unipotent complex characters

Mathematics Subject Classification ID

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

Related Items (7)

Cross characteristic representations of even characteristic symplectic groups ⋮ Surjective word maps and Burnside's \(p^aq^b\) theorem ⋮ Representation of finite groups: conjectures, reductions, and applications. ⋮ Low-Dimensional Complex Characters of the Symplectic and Orthogonal Groups ⋮ Low-dimensional representations of special unitary groups ⋮ Unipotent Brauer character values of \(\text{GL} (n,\mathbb{F}_q)\) and the forgotton basis of the Hall algebra ⋮ Cross characteristic representations of symplectic and unitary groups

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• Harish-Chandra Vertices and Steinberg's Tensor Product Theorems for Finite General Linear Groups
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10

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