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Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits. II - MaRDI portal

Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits. II (Q1202224)

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scientific article; zbMATH DE number 108665
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English
Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits. II
scientific article; zbMATH DE number 108665

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    Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits. II (English)
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    19 April 1993
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    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. \textit{A. Alekseev, L. D. Faddeev}, and \textit{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)].
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    Kirillov-Kostant theory
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    solvable Lie groups
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    unitary representations
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    Feynman path integrals
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    orbits
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