Tableaux and insertion schemes for spinor representations of the orthogonal Lie algebra \(so(2r+1,\mathbb{C})\)

DOI10.1016/0097-3165(91)90046-JzbMath0747.17006MaRDI QIDQ1175952

Jeffrey Stroomer, Georgia M. Benkart

Publication date: 25 June 1992

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

partitionirreducible representationtableauxspin representationinsertion schemessimple complex classical Lie algebra

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Limit shape for infinite rank limit of tensor power decomposition for Lie algebras of series so2n+1 ^* ⋮ Insertion Scheme for the Classical Lie Algebras ⋮ Skew Howe duality and limit shapes of Young diagrams ⋮ On centralizer algebras for spin representations ⋮ Reflection and algorithm proofs of some more Lie group dual pair identities ⋮ Applications of minor summation formulas to rectangular-shaped representations of classical groups

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