Published September 1992 | Version v1
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Group representations via geometric quantization of the momentum map

  • 1. International Centre for Theoretical Physics, Trieste (Italy)
  • 2. Sofia Univ., Sofia (Bulgaria). Faculty of Mathematics and Informatics

Description

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

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Additional details

Publishing Information

Imprint Pagination
12 p.
Report number
IC--92/266

INIS

Country of Publication
International Atomic Energy Agency (IAEA)
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
24008087
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
HAMILTONIAN FUNCTION; LIE GROUPS; MATHEMATICAL MANIFOLDS; PHASE SPACE; QUANTIZATION
Descriptors DEC
FUNCTIONS; MATHEMATICAL SPACE; SPACE; SYMMETRY GROUPS