Abstract
In this paper, we treat a general method of quantization of Hamiltonian systems whose flow is a subgroup (not necessarily closed) of a torus acting freely and symplectically on the phase space. The quantization of some classes of completely integrable systems as well as the Borel-Weil-Bott version of representation theory are special cases. (author). 14 refs.
Mladenov, I M;
[1]
Tsanov, V V
[2]
- International Centre for Theoretical Physics, Trieste (Italy)
- Sofia Univ., Sofia (Bulgaria). Faculty of Mathematics and Informatics
Citation Formats
Mladenov, I M, and Tsanov, V V.
Group representations via geometric quantization of the momentum map.
IAEA: N. p.,
1992.
Web.
Mladenov, I M, & Tsanov, V V.
Group representations via geometric quantization of the momentum map.
IAEA.
Mladenov, I M, and Tsanov, V V.
1992.
"Group representations via geometric quantization of the momentum map."
IAEA.
@misc{etde_10119390,
title = {Group representations via geometric quantization of the momentum map}
author = {Mladenov, I M, and Tsanov, V V}
abstractNote = {In this paper, we treat a general method of quantization of Hamiltonian systems whose flow is a subgroup (not necessarily closed) of a torus acting freely and symplectically on the phase space. The quantization of some classes of completely integrable systems as well as the Borel-Weil-Bott version of representation theory are special cases. (author). 14 refs.}
place = {IAEA}
year = {1992}
month = {Sep}
}
title = {Group representations via geometric quantization of the momentum map}
author = {Mladenov, I M, and Tsanov, V V}
abstractNote = {In this paper, we treat a general method of quantization of Hamiltonian systems whose flow is a subgroup (not necessarily closed) of a torus acting freely and symplectically on the phase space. The quantization of some classes of completely integrable systems as well as the Borel-Weil-Bott version of representation theory are special cases. (author). 14 refs.}
place = {IAEA}
year = {1992}
month = {Sep}
}