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Group Actions on Spin Manifolds


  • Chichilnisky, Graciela


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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    1. Thompson, Herbert Jr. & Garbacz, Christopher, 2007. "Mobile, fixed line and Internet service effects on global productive efficiency," Information Economics and Policy, Elsevier, vol. 19(2), pages 189-214, June.
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    7. Stephen D. Oliner & Daniel E. Sichel, 1994. "Computers and Output Growth Revisited: How Big Is the Puzzle?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 25(2), pages 273-334.
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    More about this item


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

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General


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