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Room P3.10, Mathematics Building

Marco Mackaay, Universidade do Algarve
The coadjoint orbits of SL(2,C) - II

In my talks (17/10 and 14/11) I will sketch the construction of the principal series of unitary representations of SL(2,C) and the coadjoint orbits they correspond to. I will also try to explain the geometric quantization of these orbits and show that the infinitesimal representations thus obtained are indeed the ones corresponding to the principal series. If there is any time left I might say something about the Kirillov character formula for SL(2,C).

References

  1. I.M. Gelfand, R.A. Minlos, Z.Ya. Shapiro, Representations of the rotation and Lorentz groups and their applications, Pergamon Press, 1963.
  2. A. Kirillov, Elements of representation theory, Springer.
  3. G.W. Mackey, Induced representations of locally compact groups I, Ann. Math. 55(1):101-139, 1952.