Representations of SL2(ℝ)

  • Anton Deitmar
Part of the Universitext book series (UTX)


Structure theory of the group G=SL2(ℝ) is introduced, an explicit Haar measure is computed. The notion of a continuous representation is given and an more abstract way of viewing modular forms is given by showing that they are representation vectors. The exponential map of the group G is described and it is shown how it gives rise to invariant differential operators.


Modular Form Compact Group Unitary Representation Haar Measure Radon Measure 
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  1. [DE09]
    Deitmar, A., Echterhoff, S.: Principles of Harmonic Analysis. Universitext. Springer, New York (2009) Google Scholar
  2. [Str06]
    Stroppel, M.: Locally Compact Groups. EMS Textbooks in Mathematics. European Mathematical Society (EMS), Zürich (2006) Google Scholar

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • Anton Deitmar
    • 1
  1. 1.Inst. MathematikUniversität TübingenTübingenGermany

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