This article is cited 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

DOI: 10.4213/tmf1040

 English version: Theoretical and Mathematical Physics, 1997, 112:2, 988–994

Bibliographic databases:

• 
• 
•