Central Extensions of Lie Algebras and Bargmann’s Theorem

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


Exact Sequence Central Extension Continuous Homomorphism Heisenberg Algebra Loop Algebra 
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    V. Bargmann. On unitary ray representations of continuous groups. Ann. Math. 59 (1954), 1–46.CrossRefMathSciNetGoogle Scholar
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    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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