Kronecker products, minuscule representations, and polynomial identities

DOI10.1063/1.528910zbMath0705.17008OpenAlexW2005927006MaRDI QIDQ3485029

H. Scutaru, Mircea Iosifescu

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528910

zbMATH Keywords

irreducible representationKronecker productshighest weightcomplex semisimple Lie algebraminuscule

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

A combinatorial construction for simply-laced Lie algebras

Cites Work

• Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture
• On defining equations of symmetric submanifolds in complex projective spaces
• On the tensor product of a finite and an infinite dimensional representation
• Representation of complex semi-simple Lie groups and Lie algebras
• A projection based approach to the Clebsch-Gordan multiplicity problem for compact semisimple Lie groups. III. The classical limit
• Classical realisation of YBZF algebras from classical realisations of Lie algebras
• Explicit decompositions of some tensor products of modules for simple complex lie algbras
• Second-degree kinematical constraints associated with dynamical symmetries
• Congruence number, a generalization of SU(3) triality
• Casimir invariants and vector operators in simple and classical Lie algebras
• Relationship of the Internal and External Multiplicity Structure of Compact Simple Lie Groups
• Clebsch-Gordan Series in the Exceptional Groups
• Characteristic Identities for Generators of GL(n), O(n) and Sp(n)

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