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Central Extensions of Lie Algebras and Bargmann’s Theorem

  • M. Schottenloher
Part of the Lecture Notes in Physics book series (LNP, volume 759)

Keywords

Exact Sequence Central Extension Continuous Homomorphism Heisenberg Algebra Loop Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [Bar54]
    V. Bargmann. On unitary ray representations of continuous groups. Ann. Math. 59 (1954), 1–46.CrossRefMathSciNetGoogle Scholar
  2. [BR77]
    A.O. Barut and R. Raczka. Theory of Group Representations and Applications. PWN – Polish Scientific Publishers, Warsaw, 1977.Google Scholar
  3. [HN91]
    J. Hilgert and K.-H. Neeb. Lie Gruppen und Lie Algebren. Vieweg, Braunschweig, 1991.zbMATHGoogle Scholar
  4. [MZ55]
    D. Montgomory and L. Zippin. Topological Transformation Groups. Interscience, New York, 1955.Google Scholar
  5. [Sim68]
    D. Simms. Lie Groups and Quantum Mechanics. Lecture Notes in Mathematics 52, Springer Verlag, Berlin, 1968.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • M. Schottenloher
    • 1
  1. 1.Ludwig-Maximilians-Universitä München80333 MünchenGermany

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