C*-algebraic intertwiners for principal series: case of SL(2,R)

Details C*-algebraic intertwiners for principal series: case of SL(2,R) C*-algebraic intertwiners for principal series: case of SL(2,R)

2011-12-21

arxiv.org/abs/1112.5019v1

Mathematics

Representation Theory

Scientific paper

We construct and normalise intertwining operators at the level of Hilbert modules describing the principal series of SL(2,R). Normalisation is achieved through the use of a Fourier transform defined on some homogenous space and twisted by a Weyl element. Normalising factors are also explicitely obtained. In the appendix we relate reducibility points to a certain distribution arising from the non-normalised intertwiners.

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