Algebraic representations of Choquet simplexes

Adapted Integral Representations by Measures on Choquet Boundaries

Representations of Abelian Algebraic Groups

There is reason to believe that there is a close relation between the irreducible representations, in the sense of harmonic analysis, of the group of rational points on a reductive algebraic group over a local field and the representations of the Weil group of the local field in a certain associated complex group. There should also be a relation, although it will not be so close, between the re...

Counting Simplexes in R

A finite set of vectors S ⊆ R is called a simplex iff S is linearly dependent but all its proper subsets are independent. This concept arises in particular from stoichiometry. We are interested in this paper in the number of simplexes contained in some H ⊆ R , which we denote by simp(H). This investigation is particularly interesting for H spanning R and containing no collinear vectors. Our mai...

Counting Simplexes in R3

A nite set of vectors S R n is called a simplex ii S is linearly dependent but all its proper subsets are independent. This concept arises in particular from stoichiometry. We are interested in this paper in the number of simplexes contained in

compactifications and representations of transformation semigroups

this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...