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All unitary representations admit moment mappings. (English) Zbl 0795.22006
Szenthe, J. (ed.) et al., Differential geometry and its applications. Proceedings of a colloquium, held in Eger, Hungary, August 20-25, 1989, organized by the János Bolyai Mathematical Society. Amsterdam: North- Holland Publishing Company. Colloq. Math. Soc. János Bolyai. 56, 477-489 (1992).
In the first part of the paper the most important results of the Frölicher Kriegl calculus are sketched. The second part is a review of the results obtained by the author [J. Global Anal. Geom. 8, 299-313 (1990; Zbl 0729.22016)].
For the entire collection see [Zbl 0764.00002].
Reviewer: H.Brodersen (Oslo)

MSC:
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
46E10 Topological linear spaces of continuous, differentiable or analytic functions
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