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Representations of SL2(ℝ)

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

Abstract

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.

Keywords

Modular Form Compact Group Unitary Representation Haar Measure Radon Measure 
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.

References

  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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