Analytic vectors and irreducible representations of nilpotent Lie groups and algebras |
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Authors: | D Arnal |
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Institution: | (1) Physique-Mathématique, Université de Dijon, B.P. 138, 21004 Dijon Cedex, France |
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Abstract: | Let U be a unitary irreducible locally faithful representation of a nilpotent Lie group G, U the universal enveloping algebra of G, M a simple module on U with kernel Ker dU, then there exists an automorphism of U keeping ker dU invariant such that, after transport of structure, M is isomorphic to a submodule of the space of analytic vectors for U. |
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