Robinson, P. L. (1984) Mp[sup]c structures and applications. PhD thesis, University of Warwick.

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Abstract

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.

Item Type:	Thesis or Dissertation (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Automorphisms, Weyl groups, Commutators (Operator theory), Symplectic groups
Official Date:	1984
Dates:	Date Event 1984 UNSPECIFIED
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Rawnsley, John H. (John Howard), 1947-
Sponsors:	Science and Engineering Research Council (Great Britain)
Extent:	ix, 174, [5] leaves
Language:	eng

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