Representations of symplectic groups and the symplectic tableaux of R. C. King

DOI10.1080/03081089108818062zbMath0748.05094OpenAlexW2074758211MaRDI QIDQ3978378

Stephen Donkin

Publication date: 25 June 1992

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089108818062

zbMATH Keywords

symplectic groupsrepresentationssymplectic tableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items

Symplectic \(q\)-Schur algebras., Toward a conjecture of Pappas and Rapoport on a scheme attached to the symplectic group, On induced modules and tableaux for the special orthogonal groups, A Basis of Bideterminants for the Coordinate Ring of the Orthogonal Group, A bideterminant basis for a reductive monoid, A symplectic Désarménien matrix and a standard basis for the symplectic Weyl module., The Brauer algebra and the symplectic Schur algebra, Centralizer coalgebras, FRT-construction, and symplectic monoids, On homomorphisms involving a hook Weyl module

Cites Work

• Unnamed Item
• Cohomology of induced representations for algebraic groups
• Projective normality of flag varieties and Schubert varieties
• Geometry of G/P. V
• Symplectic standard tableaux
• On the modular representations of the general linear and symmetric groups
• Standard Young tableaux and weight multiplicities of the classical Lie groups
• Construction of Sp-modules by tableaux