The text begins with a brief description of differential Galois theory from a geometrical perspective. Then, parameterized Galois theory is developed by means of prolongation of partial connections to the jet bundles. The ...

This thesis deals with a range of questions in combinatorial aspects of the representation theory of algebras and its applications. In particular, we provide a solution to the following problems: 1. How is it possible ...

The theory of representation of partially ordered sets or posets was introduced in the early 1970's as an effort to give an answer to the second Brauer-Thrall conjecture. Recall that one of the main goals of this theory ...