Table of Contents THE GEOMETRY AND STRUCTURE OF ISOTROPY IRREDUCIBLE HOMOGENEOUS SPACES

We may assume (by hypothesis on X) that X is irreducible, and even connected and normal (so it is normal after any extension ofscalars on fc, by Theorem 3.3.6). By Corollary 3.2.3,

In the remaining 4 cases the discussion of the examples usually contains an explicit lift I2I/Ho--)Aut(Go) which describes the semidirect product structure of (~. Let G/H be

The geometry and structure of isotropy irreducible homogeneous

[The Fourier transform] Let G be a finite group and G b the set of (isomorphism classes of) its irreducible representations... Complete the character table - one has to

this paper we establish the equivalence of the Hardy spaces on compact semisimple Lie groups that arise from their homogeneous type structure with those that arise

Besides this characterization of Gaussianity, we discuss other properties of the Fourier coefficients of an invariant random field such as orthogonality (it is well known that the a

for compact semisimple Lie groups an irreducible representation is completely determined by its infinitesimal character, but that this is far from true for nilpotent Lie

The aim of this paper is to prove that a control affine system on a manifold is equivalent by diffeomorphism to a linear system on a Lie group or a homogeneous space if and only if