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Group Actions on Spin Manifolds

Author

Listed:
  • Chichilnisky, Graciela

Abstract

A 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.

Suggested Citation

  • Chichilnisky, Graciela, 1972. "Group Actions on Spin Manifolds," MPRA Paper 7906, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:7906
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    File URL: https://mpra.ub.uni-muenchen.de/7906/1/MPRA_paper_7906.pdf
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    More about this item

    Keywords

    Spin Manifolds; Manifold; V. Bargmann; unitary representations; ray representations; topological; topology;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General

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