Notes on splitting fields

Abstract

These notes include introductory material on the notion of splitting fields for modules over a k-algebra where k is a field.

Based on notes written some time around 2013 while I was a grad student in Minnesota, studying the basics of representations of finite-dimensional algebras. They used to be reachable online in a umn.edu page, which is now dead. I have decided on uploading here after being notified there is nonzero interest in them. I have rewritten some parts and made some cosmetic changes