Bases for some reciprocity algebras. II

DOI10.1016/j.aim.2005.08.006zbMath1106.22011OpenAlexW2076745996MaRDI QIDQ850067

Soo Teck Lee, Roger E. Howe

Publication date: 15 November 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2005.08.006

zbMATH Keywords

SAGBI basisreciprocity algebrasstable branching algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Semisimple Lie groups and their representations (22E46)

Related Items

Pieri algebras for the orthogonal and symplectic groups, Orthogonal basis for spherical monogenics by step two branching, Toric degeneration of branching algebras, A basis for the \(\mathrm{GL}_n\) tensor product algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Triple multiplicities for \(s\ell (r+1)\) and the spectrum of the exterior algebra of the adjoint representation
• Automorphic forms of several variables. 13th Taniguchi Symposium, Katata, Japan, 1983
• Young diagrammatic methods for the restriction of representations of complex classical Lie groups to reductive subgroups of maximal rank
• Toric degeneration of branching algebras
• Commutative algebra. Proceedings of a workshop held in Salvador, Brasil, Aug. 8-17, 1988
• On the Segal-Shale-Weil representations and harmonic polynomials
• On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
• On certain rings of highest weight vectors
• A basis for the \(\mathrm{GL}_n\) tensor product algebra
• Stable branching rules for classical symmetric pairs
• Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric Groups
• Bases for some reciprocity algebras III
• Bases for some reciprocity algebras I
• Stability in modules for classical Lie algebras—a constructive approach
• Analysis on foliated spaces and arithmetic geometry
• Kronecker products for compact semisimple Lie groups
• Remarks on Classical Invariant Theory
• Branching rules for classical Lie groups using tensor and spinor methods
• Generalized Young Tableaux and the General Linear Group
• Modification Rules and Products of Irreducible Representations of the Unitary, Orthogonal, and Symplectic Groups
• On invariant theory under restricted groups