Geometric interpretations of two branching theorems of D.E. Littlewood.

DOI10.1016/j.jalgebra.2002.11.001zbMath1038.22005OpenAlexW2014970011WikidataQ56443388 ScholiaQ56443388MaRDI QIDQ1421794

A. W. Knapp

Publication date: 3 February 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2002.11.001

zbMATH Keywords

branching rulesLittlewood-Richardson coefficients

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items

Stable branching rules for classical symmetric pairs, Normalizers and self-normalizing subgroups. II., Nilpotent orbits and some small unitary representations of indefinite orthogonal groups., Pairs of semisimple Lie algebras and their maximal reductive subalgebras

Cites Work

• A characteristic free approach to invariant theory
• The universal form of the branching rule for the symplectic groups
• A duality for symmetric spaces with applications to group representations
• Reduction of the unitary group to its orthogonal or symplectic subgroup: a unified approach based upon complementary groups
• Canonical solution of the state labelling problem for SU(n)⊃SO(n) and Littlewood's branching rule. I. General formulation
• Canonical solution of the state labelling problem for SU(n)⊃SO(n) and Littlewood's branching rule. II. Use of modification rules
• Representation theoretic realizations of two classical character formulas of d.e.littlewood
• Lie groups beyond an introduction
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