Symmetric power sum expansions of the eigenvalues of generalised Casimir operators of semi-simple Lie groups

DOI10.1088/0305-4470/13/7/014zbMath0429.22009OpenAlexW2081992829WikidataQ115293815 ScholiaQ115293815MaRDI QIDQ3866319

Ronald C. King, M. J. Englefield

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1088/0305-4470/13/7/014

zbMATH Keywords

eigenvaluessemisimple Lie groupsgeneralised Casimir operatorssymmetric power sum expansionWeyl symmetry group

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46)

Related Items (8)

Casimir operators of the exceptional group G2 ⋮ Casimir invariants and infinitesimal characters for semi-simple Lie algebras ⋮ On characteristic equations, trace identities and Casimir operators of simple Lie algebras ⋮ Exceptional thermodynamics: the equation of state of \(G_{2}\) gauge theory ⋮ General indices of simple Lie algebras and symmetrized product representations ⋮ Modified fourth-order Casimir invariants and indices for simple Lie algebras ⋮ Kronecker products of representations of the exceptional groups ⋮ GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS

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