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This article is cited in 2 scientific papers (total in 2 papers)
Remarks on geometric quantization of $R$-matrix type Poisson brackets
A. Yu. Kotov M. V. Lomonosov Moscow State University
Abstract:
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.
Received: 25.12.1996
Citation:
A. Yu. Kotov, “Remarks on geometric quantization of $R$-matrix type Poisson brackets”, TMF, 112:2 (1997), 241–248; Theoret. and Math. Phys., 112:2 (1997), 988–994
Linking options:
https://www.mathnet.ru/eng/tmf1040https://doi.org/10.4213/tmf1040 https://www.mathnet.ru/eng/tmf/v112/i2/p241
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Abstract page: | 279 | Full-text PDF : | 196 | References: | 35 | First page: | 1 |
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