Representations of compact semisimple Lie algebras over Lagrangian submanifolds (Q1907456)

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scientific article; zbMATH DE number 846548
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Representations of compact semisimple Lie algebras over Lagrangian submanifolds
scientific article; zbMATH DE number 846548

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    Representations of compact semisimple Lie algebras over Lagrangian submanifolds (English)
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    25 February 1996
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    The authors show how the Karasev quantization scheme applies to the coadjoint orbits of \({\mathcal G}^*\), where \(\mathcal G\) is a compact semisimple Lie algebra. The particular cases of \(\text{su} (2)^*\), \(\text{so}(4)^*\) and \(\text{su}(1,1)^*\) have been considered earlier by the authors in J. Math. Phys. 34, No. 11, 4986-5006 (1993; Zbl 0788.58025).
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    Lagrangian submanifolds
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    quantization
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    semisimple Lie algebra
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