Unipotent Brauer character values of \(\text{GL} (n,\mathbb{F}_q)\) and the forgotton basis of the Hall algebra

DOI10.1023/A:1011293414487zbMath0987.05099MaRDI QIDQ5936081

Jonathan Brundan

Publication date: 2 July 2001

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

symmetric functionsBrauer charactersgeneral linear groupHall algebraunipotent representation

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Modular representations and characters (20C20)

Cites Work

• Representations of finite classical groups. A Hopf algebra approach
• Unipotent representations of the finite general linear groups
• The characters of a maximal parabolic subgroup of \(GL_ n(\mathbb{F}_ q)\)
• Lower bounds for degrees of irreducible Brauer characters of finite general linear groups
• Quantum linear groups and representations of 𝐺𝐿_{𝑛}(𝐹_{𝑞})
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• The q ‐Schur Algebra
• A Geometric Approach to the Representations of the Full Linear Group Over a Galois Field
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