Orthogonal, symplectic and unitary representations of finite groups

DOI10.1090/S0002-9947-01-02807-0zbMath0994.20005MaRDI QIDQ2750919

Carl R. Riehm

Publication date: 21 October 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupsHermitian formsunitary representationsHasse principlesymmetric formssymplectic representationsorthogonal representationsskew symmetric forms

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Quadratic forms over global rings and fields (11E12) Linear algebraic groups over global fields and their integers (20G30) Orthogonal and unitary groups in metric geometry (51F25) Quadratic forms over local rings and fields (11E08)

Related Items (1)

Involutions of Azumaya algebras

Cites Work

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• Induction and structure theorems for orthogonal representations of finite groups
• Classification of Hermitian forms. VI: Group rings
• Orthogonal Frobenius reciprocity
• On isometries of inner product spaces
• The representation of groups by automorphisms of forms
• Forms over rings with involution
• Forms over semisimple algebras with involution
• Invariants of Orthogonal G-Modules from the Character Table
• Trace forms of normal extensions over local fields
• On finite linear groups

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