We show that the reduction processes A→X between differential tensor algebras, as developed by Bautista, Salmerón and Zuazua [3], are practical mechanisms for the study and explicit construction of indecomposable quiver ...

We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence ...

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 ...