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Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits. II. (English) Zbl 0772.58010

The author constructs irreducible unitary representations of a connected and simply connected solvable Lie group \(G\) by using the Feynman path integrals on coadjoint orbits [cf. A. Alekseev, L. D. Faddeev, and S. Shatashvili, J. Geom. Phys. 5, No. 3, 391-406 (1988; Zbl 0698.58025)].
For part I of this paper see Hokkaido Math. J. 20, No. 2, 353-405 (1991; Zbl 0733.58007)].

MSC:

58D30 Applications of manifolds of mappings to the sciences
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