Media theory: Representations and examples

Media theory: Representations and examples

In this paper we develop a representational approach to media theory. We construct representations of media by well-graded families of sets and partial cubes and establish the uniqueness of these representations. Two particular examples of media are also described in detail. © 2007 Elsevier B.V. All rights reserved.

Representations : Some Examples

Semi-linear Representations: Some Examples

By an F -semi-linear G-representation we mean an F -space V with a (k-linear) G-action such that (a v) = a v for any 2 G, v 2 V and a 2 F . This is the same as a module over the algebra F hGi := F ZZ[G] with evident action of F and the diagonal action of G. If G acts on F faithfully, then F hGi is a central k-algebra. Semi-linear G-representations nite-dimensional over F form an abelian tensor ...

Probability: Theory and Examples

1 Brownian Motion 2 1.

Probability: theory and examples