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Title: Mpc structures and applications
Author: Robinson, P. L.
ISNI:       0000 0001 3529 3286
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1984
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Mpc is the group of all automorphisms of an irreducible Weyl system which project to the symplectic group, and contains the metaplectic group as commutator subgroup. Whereas to be metaplectic is a topological restriction, every symplectic vector bundle admits Mpc structures. We investigate the properties of Mpc structures and their associated bundles of symplectic spinors. As applications of these concepts, we present a geometric quantization scheme extending those due to Kostant & Hess and indicate their implications for the symbol theory of operators.
Supervisor: Not available Sponsor: Science and Engineering Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics