Invariants of Orthogonal G-Modules from the Character Table

DOI10.1080/10586458.2000.10504665zbMath0978.20004OpenAlexW2029078579MaRDI QIDQ2706542

Gabriele Nebe

Publication date: 19 March 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231174

zbMATH Keywords

finite groupscharactersquadratic formsClifford algebrasintegral representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Integral representations of finite groups (20C10) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Quadratic spaces; Clifford algebras (11E88)

Related Items

The orthogonal character table of \(\mathrm{SL}_{2}(q)\), Abelian groups acting irreducibly and bilinear forms, Orthogonal, symplectic and unitary representations of finite groups, Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture

Uses Software

• GAP

Cites Work

• Real characters, double covers, and the multiplier
• The Schur index of projective characters of symmetric and alternating groups
• Orthogonal Frobenius reciprocity
• Orthogonal and Symplectic Representations of Groups
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
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