On induced modules and tableaux for the special orthogonal groups

DOI10.1080/03081089508818365zbMath0831.20058OpenAlexW2031368137MaRDI QIDQ4853912

Mihalis Maliakas

Publication date: 6 February 1996

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

Full work available at URL: https://doi.org/10.1080/03081089508818365

zbMATH Keywords

tableauxorthogonal groupsspecial orthogonal groupsinduced modulesGelfand patternsstandard basis theorem

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Lie algebras of linear algebraic groups (17B45)

Related Items

On invariant ideals associated to classical groups ⋮ On homomorphisms involving a hook Weyl module

Cites Work

• Unnamed Item
• Unnamed Item
• Cohomology of induced representations for algebraic groups
• Geometry of G/P. V
• Symplectic standard tableaux
• Schur functors and Schur complexes
• Young tableaux, Gelfand patterns, and branching rules for classical groups
• On polynomial representations and filtrations for the special orthogonal groups
• The universal form of the branching rule for the symplectic groups
• Representation functors and flag-algebras for the classical groups. II
• Standard Young tableaux and weight multiplicities of the classical Lie groups
• Construction of Sp-modules by tableaux
• Representations of symplectic groups and the symplectic tableaux of R. C. King
• A note on the straightening law for the symplectic group
• Construction of orthogonal group modules using tableaux