An approach to the branching rule from \(\mathfrak{sl}_{2n}(\mathbb C)\) to \(\mathfrak{sp}_{2n}(\mathbb C)\) via Littelmann's path model
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Publication:1771340
DOI10.1016/j.jalgebra.2004.12.014zbMath1089.17005OpenAlexW2091793548MaRDI QIDQ1771340
Publication date: 21 April 2005
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.12.014
Related Items (5)
Based modules over the \(\imath\) quantum group of type AI ⋮ On the multiplicity spaces of spherical subgroups of minimal rank ⋮ On a conjecture of Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux ⋮ An elliptic hypergeometric function approach to branching rules ⋮ On a conjecture of Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux
Cites Work
- Multiplicity-free branching rules for outer automorphisms of simple Lie algebras
- Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
- Applications of minor summation formulas to rectangular-shaped representations of classical groups
- Identities for classical group characters of nearly rectangular shape
- A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
- Paths and root operators in representation theory
- Shifted Plane Partitions of Trapezoidal Shape
- Semisimple subalgebras of semisimple Lie algebras
- Branching rules for classical Lie groups using tensor and spinor methods
- Modification Rules and Products of Irreducible Representations of the Unitary, Orthogonal, and Symplectic Groups
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