Irreducible representations of locally compact groups that cannot be Hausdorff separated from the identity representation.

Eberhard Kaniuth; M.E.B. Bekka

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One of the fundamental problems of abstract harmonic analysis is the determination of the irreducible unitary representations of simple Lie groups. After recalling why this problem is of interest, we discuss the present state of knowledge about it. In the language of Kirillov and Kostant, the problem finally is to «quantize» nilpotent coadjoint orbits.