Group Actions on Spin Manifolds
AbstractA generalization of the theorem of V. Bargmann concerning unitary and ray representations is obtained and is applied to the general problem of lifting group actions associated to the extension of structure of a bundle. In particular this is applied to the Poincare group 'P' of a Lorentz manifold 'M'. It is shown that the topological restrictions needed to lift an action in 'P' are more stringent than for actions in the proper Poincare group 'P'. Similar results hold for the Euclidean group of a Riemannian manifold.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 7906.
Date of creation: 1972
Date of revision:
Spin Manifolds; Manifold; V. Bargmann; unitary representations; ray representations; topological; topology;
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- C0 - Mathematical and Quantitative Methods - - General
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