Standard monomial bases and degenerations of \(SO_m(\mathbb C)\) representations
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Publication:2267445
DOI10.1016/j.jalgebra.2009.08.004zbMath1200.22005OpenAlexW1990322747MaRDI QIDQ2267445
Publication date: 1 March 2010
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.08.004
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Related Items (3)
Pieri algebras for the orthogonal and symplectic groups ⋮ Distributive lattices, affine semigroups, and branching rules of the classical groups ⋮ The nullcone in the multi-vector representation of the symplectic group and related combinatorics
Cites Work
- SAGBI bases and degeneration of spherical varieties to toric varieties
- Standard monomial theory for flag algebras of GL\((n)\)and Sp\((2n)\)
- Young diagrams and determinantal varieties
- Representation-functors and flag-algebras for the classical groups. I
- Young tableaux, Gelfand patterns, and branching rules for classical groups
- Degenerations of flag and Schubert varieties to toric varieties
- Toric degenerations of Schubert varieties
- Toric degenerations of spherical varieties
- Toric degeneration of Schubert varieties and Gelfand--Tsetlin polytopes
- Representation functors and flag-algebras for the classical groups. II
- Construction of orthogonal group modules using tableaux
- Sagbi bases with applications to blow-up algebras.
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