Nambu-Lie group actions.
Utilizing the theory of the Poisson transform, we develop some new concrete models for the Hecke theory in a space of Maass forms with eigenvalue on a congruence subgroup . We introduce the field so that consists entirely of algebraic numbers if .The main result of the paper is the following. For a packet of Hecke eigenvalues occurring in we then have that either every is algebraic over , or else will – for some – occur in the first cohomology of a certain space which is a...
In this article we study non-abelian extensions of a Lie group modeled on a locally convex space by a Lie group . The equivalence classes of such extension are grouped into those corresponding to a class of so-called smooth outer actions of on . If is given, we show that the corresponding set of extension classes is a principal homogeneous space of the locally smooth cohomology group . To each a locally smooth obstruction class in a suitably defined cohomology group is defined....