Geodesic
Remarks on geometric quantization of $R$-matrix type Poisson brackets
Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 2, pp. 241-248 
A. Yu. Kotov. Remarks on geometric quantization of $R$-matrix type Poisson brackets. Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 2, pp. 241-248. http://geodesic.mathdoc.fr/item/TMF_1997_112_2_a2/
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     title = {Remarks on geometric quantization of $R$-matrix type {Poisson} brackets},
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     pages = {241--248},
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     volume = {112},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_112_2_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We check the Vaisman condition of geometric quantization for $R$-matrix type Poisson pencil on a coadjoint orbit of a compact semisimple Lie group. It is shown that this condition is not satisfied for hermitian symmetric spaces. We also construct some examples when the Vaisman condition takes place.

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