Notes on splitting fields
Representation Theory
2025-01-22 v1 Rings and Algebras
Abstract
These notes include introductory material on the notion of splitting fields for modules over a k-algebra where k is a field.
Keywords
Cite
@article{arxiv.2501.10554,
title = {Notes on splitting fields},
author = {Cihan Bahran},
journal= {arXiv preprint arXiv:2501.10554},
year = {2025}
}
Comments
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