Some remarks on representations of jet groups and gauge groups
Résumé
We study irreducible unitary representations of the three first jet (or Leibniz) extensions G k m of a compact group G, focusing on the neighborhood of the trivial representation. We also describe some associated irreducible unitary (continuous tensor product) representations of the gauge (or current) groups of mappings from a Riemannian manifold into G k m.
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