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Special functions and infinite-dimensional representations of Lie groups

✍ Scribed by P. Feinsilver; R. Schott

Book ID
110559160
Publisher
Springer-Verlag
Year
1990
Tongue
French
Weight
760 KB
Volume
203
Category
Article
ISSN
0025-5874

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We show that in the presence of suitable commutator estimates, a projective unitary representation of the Lie algebra of a connected and simply connected Lie group G exponentiates to G. Our proof does not assume G to be finite-dimensional or of Banach Lie type and therefore encompasses the diffeomor

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This paper contains some general results on irreducibility and inequivalence of representations of certain kinds of infinite dimensional Lie algebras, related to transformation groups. The main abstract theorem is a generalization of a classical result of Burnside. Applications are given, especially