International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 15, Article ID 48274, 22 pages
doi:10.1155/IJMMS/2006/48274
Invariant triple products
Anton Deitmar
Mathematisches Institut, Eberhard Karls Universität Tübingen, Auf der Morgenstelle 10, Tübingen 72076, Germany
Abstract
It is shown that the space of invariant trilinear forms on smooth representations of a semisimple Lie group is finite dimensional if the group is a product of hyperbolic groups. Explicit upper bounds are given which are attained in the case of induced representations. Applications to automorphic coefficients are given.