See this page for various online resources, including glossary, complete solutions manual for instructors, and errata list.
These are notes for a brief unit on representation theory at the end of a standard graduate abstract algebra course. The notes assume no special preparation for representation theory, but take advantage of efficiencies of exposition made possible by an assumed basic graduate-level background in module theory, canonical forms, etc.
These are my lecture notes for MATH 405, Advanced Matrix Analysis, in Spring 2019. They're pretty rough in places. I plan to revise them and polish them up for public consumption over time, but in the mean time, here they are. (Don't take the word "Advanced" in the course title too seriously — it's just there to signal to potential students that this shouldn't be mistaken for a first course in linear algebra. The material is at a similar level to most books titled "Matrix Analysis".)