2004/04/18 by Yoshihito Shimada, Shimada, Yoshihito
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0404042
In the section 1 of the previous draft, the mistake was found about a historical fact and was fixed. The section 5 was deleted by adding references
openalex publication_date 2004/04/18 · arxiv created 2005/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the energy representation for the gauge group. The gauge group is the set of (C∞)-mappings from a compact Riemannian manifold to a semi-simple compact Lie group. In this paper, we obtain irreducibility of the energy representation of the gauge group for any dimension of (M). To prove irreducibility for the energy representation, we use the fact that each operator from the space of test functionals to the space of generalized functionals is realized as a series of integral kernel operators, called Fock expansion.