Description
Controlling multiplicities in branching problems is a central question
in representation theory. In the setting of infinite-dimensional representations of real reductive Lie groups, analytic methods based on symmetry breaking operators provide one explanation of a surprising blow-up phenomena mentioned in the talk by T. Kobayashi.
We shall present this approach considering the basic case of $\mathfrak{sl}_2$ with a particular emphasis on the interplay with the classical theory of special functions.
Author
Michael PEVZNER
(FJ-LMI and Reims University)