On new multiplicity formulas of weights of representations for the classical groups

DOI10.1016/0021-8693(87)90100-1zbMath0619.20020OpenAlexW1983892012MaRDI QIDQ1089430

Kazuhiko Koike

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90100-1

zbMATH Keywords

partitionsirreducible representationclassical groupsmultiplicity formulasdominant weight

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05)

Related Items (8)

Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\) ⋮ Representations of spinor groups and the difference characters of \(SO(2n)\) ⋮ Stability of dominant weights of the tensor product module for orthosymplectic lie superalgebras ⋮ Multiplicity formulas for fundamental strings of representations of classical Lie algebras ⋮ Young diagrammatic methods for the restriction of representations of complex classical Lie groups to reductive subgroups of maximal rank ⋮ Construction of Kac–Moody superalgebras as minimal graded Lie superalgebras and weight multiplicities for Kac–Moody superalgebras ⋮ On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters ⋮ Weight Multiplicities and Young Tableaux Through Affine Crystals

Cites Work

• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• The evaluation of weight multiplicities using characters and S-function
• A Formula For the Multiplicity of a Weight
• Introduction to Lie Algebras and Representation Theory
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