Representations of SL2(ℝ)
Part of the
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.
KeywordsModular 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.
Deitmar, A., Echterhoff, S.: Principles of Harmonic Analysis. Universitext. Springer, New York (2009)
Stroppel, M.: Locally Compact Groups. EMS Textbooks in Mathematics. European Mathematical Society (EMS), Zürich (2006)
© Springer-Verlag London 2013