Introduction to representation theory
Abstract
These are lecture notes that arose from a representation theory course given by the first author to the remaining six authors in March 2004 within the framework of the Clay Mathematics Institute Research Academy for high school students, and its extended version given by the first author to MIT undergraduate math students in the Fall of 2008. The notes cover a number of standard topics in representation theory of groups, Lie algebras, and quivers, and contain many problems and exercises. They should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra, and may be used for an undergraduate or introductory graduate course in representation theory.
Cite
@article{arxiv.0901.0827,
title = {Introduction to representation theory},
author = {Pavel Etingof and Oleg Golberg and Sebastian Hensel and Tiankai Liu and Alex Schwendner and Dmitry Vaintrob and Elena Yudovina},
journal= {arXiv preprint arXiv:0901.0827},
year = {2011}
}
Comments
108 pages. In the latest version, misprints and errors were corrected and new exercises were added, in particular ones suggested by Darij Grinberg