The GL(V)-module structure of St(Sr(V)), symmetric tensors of degree t on symmetric tensors of degree r on V

DOI10.1080/00927878008822524zbMath0443.20037OpenAlexW2000335163MaRDI QIDQ3885922

Frank J. Servedio

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822524

zbMATH Keywords

symmetric tensorsmultiplicitiesalgebraic invariantsfinite dimensional vector spacesimple GL(V) modules

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Multilinear algebra, tensor calculus (15A69)

Cites Work

• Canonical reducible cubic forms in \(n\;(\geq 3)\) variables and their infinite orthogonal groups
• Some remarks on nilpotent orbits
• Representations of permutation groups. Part I
• Prehomogeneous Vector Spaces and Varieties
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