Lie groups with smooth characters and with smooth semicharacters

Repeat the exer- cise in homology, for cor G×K H×K and tr G×K H×K (in homology, the hypothesis that G be finite can be supressed, but of course we need [G : H ] < ∞ for the

COROLLARY 3.7. Assume that the radical of G is simply connected and that G has a maximal connected semisimple subgroup with finite center. Then G has a finite covering with

In particular, Theorem 1.2 shows that the problem of approximating compact Kähler manifolds with projective ones has a positive answer in the case of smooth tori families..

in 9' ([10], [11]) is contained in a certain G-invariant Zariski open subset of 9', has a distribution ^-semicharacter f^ expressible by fn^)=^>(^(u * (p)) for (peC^G), ((>

In this paper we shall generalize Gerstenhaber’s result to reductive Lie algebras and simply connected semisimple algebraic groups, both over algebraically closed

“nice pairs”, for which he proved that λ p s > 0 for any s ∈ p semisimple. If the roots of the b-functions of a module M F are not integers, as in the example of

Linear algebraic groups and their homogeneous spaces have been thoroughly in- vestigated; in particular, the Chow ring of a connected linear algebraic group G over an

A first crucial fact is that ψ = ϕ| U ◦ exp is a G-invariant function of positive type on u (for the underlying abelian group structure) and is extremal under such functions