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Hyperbolic representations of groups and functions of hyperbolic type: the case SL_2(R)
Speaker: Gonzalo Ruiz Stolowicz


Some generalities about group representations by isometries on the complex hyperbolic space of infinite dimensions will be introduced. For this purpose the functions of hyperbolic type, which play a role analogous to that of positive type functions with respect to unitary representations, will be discussed.

In particular the case of SL_2 will be treated in detail. A new family of representations will be described as well as the questions it raises about the structure of the set of hyperbolic type functions defined on a given group.

Date : Thu, Nov 10

Time: 13:00

Place: SR 8