Young diagrammatic methods in non-commutative invariant theory

DOI10.1017/S002776300000338XzbMath0728.16010MaRDI QIDQ3351540

Yasuo Teranishi

Publication date: 1991

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Poincaré seriessymmetric groupclassical groupsinvariant ringtensor algebrasymmetric powergeneric matricesfree generatorsnon-commutative invariants

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Trace rings and invariant theory (associative rings and algebras) (16R30)

Cites Work

• Unnamed Item
• The invariant theory of \(n\times n\) matrices
• A characteristic free approach to invariant theory
• Universal induced characters and restriction rules for the classical groups
• Noncommutative classical invariant theory