Wall and Chamber Structure for finite-dimensional Algebras

Abstract

We use $\ddot{I}„$-tilting theory to give a description of the wall and chamber structure of a finite dimensional algebra. We also study $\mathfrak{D}$-generic paths in the wall and chamber structure of an algebra $A$ and show that every maximal green sequence in mod $A$ is induced by a $\mathfrak{D}$-generic path.

We added Subsection 3.5 and corrected typos. This paper is a revised version of one part of a preprint arXiv:1705.08227