Ordinary and modular characters of \(\mathrm{SU}(3,p)\).

DOI10.1016/0021-8693(90)90183-OzbMath0699.20032MaRDI QIDQ912982

James E. Humphreys

Publication date: 1990

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

zbMATH Keywords

decompositionspecial unitary groupordinary irreducible charactersprincipal blockmodular irreducible charactersprincipal indecomposable 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 (2)

On defects of characters and decomposition numbers ⋮ Weyl groups and elliptic solutions of the WDVV equations

Cites Work

• Extensions of simple modules for finite Chevalley groups
• On the Green polynomials of classical groups
• On the first Cartan invariants in characteristic 2 of the groups \(SL_ 3(2^ m)\) and \(SU_ 3(2^ m)\)
• On the projective characters in characteristic 2 of the groups \(SL_3(2^m)\) and \(SU_3(2^m)\)
• Projective characters for finite Chevalley groups
• Ordinary and modular characters of \(\mathrm{SL}(3,p)\).
• Zur Reduktion modulo p der Charaktere von Deligne und Lusztig
• The characters of the finite unitary groups
• A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
• Cartan Invariants
• Some Representations of Classical Groups
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
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