MATH 513 Representation Theory Of Finite Groups- Spring 2023

Content: Preliminaries for modules and algebras. Modules/representations of group algebras kG, and their characters. The cases of the  characteristic  0 and a prime p for the field k will be  emphasized.   Product of characters. Induced characters. Reduction and extension of characters.

MATH 513 SUPPLEMENTARY NOTES/BOOKS

NEW !!! A very good book that I found recently is :

Algebras and Representation Theory by Karin Erdman and Thorsten Holm

The is no single book I can suggest.

Abstract Algebra by  D. S. Dummit and R. M. Foote (Chapter 18,  and 19)

Character Theory of Finite Groups by M.I. Isaacs (has a lot more material  than one can do in this course)

Representations  and Characters of Groups by G.James and M. Liebeck

Ambar Sengupta Title : Representation of Algberas and Finite Groups An Introduction

Anupham Singh Title : Representation Theory of Finite Groups

MATH 513 Representation Theory Of Finite Groups 2013 has useful notes as well

See the ODTU-Syllabus for more course information pdf

HOW TO READ / WRITE MATHEMATICS etc. ESSENTIAL READING ESPECIALLY FOR MATHEMATICS STUDENTS.