Branching rules for GL(N)⊃Σm and the evaluation of inner plethysms

DOI10.1063/1.1666632zbMath0276.20008OpenAlexW2074133072MaRDI QIDQ4402516

Ronald C. King

Publication date: 1974

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1666632

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Applications of Lie groups to the sciences; explicit representations (22E70) Other geometric groups, including crystallographic groups (20H15)

Related Items (8)

Symmetric group characters as symmetric functions ⋮ Products of symmetric group characters ⋮ Analogies between finite-dimensional irreducible representations of SO(2n) and infinite-dimensional irreducible representations of Sp(2n,R). II. Plethysms ⋮ On the 3j symmetries ⋮ Branching from the general linear group to the symmetric group and the principal embedding ⋮ Branching rules for the Weyl group W(D n) ⋮ The Hopf structure of symmetric group characters as symmetric functions ⋮ Mackey's theory of \(\tau\)-conjugate representations for finite groups.

Cites Work

• On the number of roots of the equation X\(^n\)=1 in finite groups and related properties
• The Inner Plethysm of S-Functions
• Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric Groups
• Space Group Selection Rules: Diamond and Zinc Blende
• Group characters and algebra
• Racah Algebra for an Arbitrary Group
• Unitary Groups: Representations and Decompositions
• Selection Rules and the Decomposition of the Kronecker Square of Irreducible Representations
• Symmetry Properties of the 3j-Symbols for an Arbitrary Group
• Kronecker Products and Symmetrized Squares of Irreducible Representations of Space Groups
• Induced Representations and Alternating Groups
• Branching rules for U(N)⊃U(M) and the evaluation of outer plethysms
• The symmetric group: Characters, products and plethysms
• Invariant theory, tensors and group characters

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