Linear representations and quasipolyhedrality of a finite-valued convex function

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...

Linear Representations of Finite Groups

on the effect of linear & non-linear texts on students comprehension and recalling

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Linear Programming and the Complexity of Finite-valued CSPs

We consider the complexity classification project for the valued constraint satisfaction problem (VCSP) restricted to rational-valued cost functions. A year ago, classifications were known for Boolean domains and for the case when all unary cost functions are allowed. In the time that has passed since then, there has been significant progress in the area. In this paper, we describe the full com...

A Numerical Invariant for Linear Representations of Finite Groups

We study the notion of essential dimension for a linear representation of a finite group. In characteristic zero we relate it to the canonical dimension of certain products of Weil transfers of generalized Severi-Brauer varieties. We then proceed to compute the canonical dimension of a broad class of varieties of this type, extending earlier results of the first author. As a consequence, we pro...