Representations of the group of smooth mappings of a manifold X into a compact Lie group
I. M. Gelfand, M. I. Graev, A. M. Verťik (1977)
Compositio Mathematica
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Displaying similar documents to “Wiener functionals on spaces of Lie algebra valued 1-currents, and unitary representations of currents groups.”
Representations of the group of smooth mappings of a manifold X into a compact Lie group
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The introduction of the concepts of energy machinery and energy structure on a manifold makes it possible a large class of energy representations of gauge groups including, as a very particular case, the ones known up to now. By using an adaptation of methods initiated by I. M. Gelfand, we provide a sufficient condition for the irreducibility of these representations.