Representation Theory of Local Current Algebras

We prove the following theorem: Every finite‐dimensional irreducible representation of the local current algebra [F ρ ( k 1 ), F σ ( k 2 )]=e ρσ τ F τ ( k 1 + k 2 ) , where the {e ρσ τ } are the structure constants of a semisimple Lie algebra L, has the form F ρ ( k )→ ∑ i=1 N e ikx i T ρ i , where...

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Veröffentlicht in:	J. Math. Phys. (N. Y.), 8: 1954-6(Oct. 1967) 8: 1954-6(Oct. 1967), 1967-01, Vol.8 (10), p.1954-1956
1. Verfasser:	Roffman, Eric H.
Format:	Artikel
Sprache:	eng
Schlagworte:	CURRENT ALGEBRA CURRENT ALGEBRA/representation theory of local CURRENTS ELECTRIC CHARGES ELEMENTARY PARTICLE MODELS (TRIPLET)/theory for quark, representation theory of local current algebras in ELEMENTARY PARTICLES ELEMENTARY PARTICLES/interactions of, representation theory of local current algebras for INTERACTIONS LIE GROUPS MATHEMATICS MATRICES N34210 -Physics (High Energy)-Particle Interactions & Properties (Theoretical)-General PARTICLE MODELS QUARKS
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