A Robinson-Schensted-type correspondence for a dual pair on spinors

DOI10.1016/0097-3165(93)90027-6zbMath0772.05099OpenAlexW2089309365MaRDI QIDQ1207771

Itaru Terada

Publication date: 23 May 1993

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

Full work available at URL: https://doi.org/10.1016/0097-3165(93)90027-6

zbMATH Keywords

tableauxspinorsdual paircharacter identityBerele insertionRobinson-Schensted-type correspondence

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Related Items (5)

Skew Howe duality and limit shapes of Young diagrams ⋮ Combinatorial Howe duality of symplectic type ⋮ Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions ⋮ Identities from representation theory ⋮ Brauer diagrams, updown tableaux and nilpotent matrices

Cites Work

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• The Cauchy identity for \(Sp(2n)\)
• A Schensted-type correspondence for the symplectic group
• Reflection and algorithm proofs of some more Lie group dual pair identities
• Permutations, matrices, and generalized Young tableaux
• Crystalizing the q-analogue of universal enveloping algebras
• Transcending Classical Invariant Theory
• Spin Representation of a Direct Sum and a Direct Product
• Longest Increasing and Decreasing Subsequences
• Remarks on Classical Invariant Theory
• Branching rules for classical Lie groups using tensor and spinor methods

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