Introduction to orthogonal, symplectic and unitary representations of finite groups.

zbMath1262.20008MaRDI QIDQ636856

Carl R. Riehm

Publication date: 31 August 2011

Published in: Fields Institute Monographs (Search for Journal in Brave)

zbMATH Keywords

unitary representationsbilinear formsClifford algebrasGrothendieck groupsSchur subgroupsBrauer-Wall groupsHasse principlerepresentations of finite groupssesquilinear formssymplectic representationsFröhlich invariantsorthogonal representationsWitt theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Quadratic spaces; Clifford algebras (11E88) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (5)

Hasse principle for $ G$-trace forms ⋮ Equivariant quadratic forms in characteristic 2 ⋮ Rationally isomorphic Hermitian forms and torsors of some non-reductive groups ⋮ A Hermitian analog of a quadratic form theorem of Springer ⋮ Congruence and metaplectic covariance: Rational biquadratic reciprocity and quantum entanglement

This page was built for publication: Introduction to orthogonal, symplectic and unitary representations of finite groups.