Introduction to Representation Theory (Student Mathematical Library) - Softcover

Etingof, Pavel I.; Golberg, Oleg; Hensel, Sebastian; Liu, Tiankai; Schwendner, Alex

Softcover

ISBN 10: 0821853511 ISBN 13: 9780821853511

Publisher: American Mathematical Society, 2011

Synopsis

Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

About this title

About the Author

Pavel Etingof, Massachusetts Institute of Technology, Cambridge, MA, USA

Oleg Golberg, Sebastian Hensel: Universität Bonn, Bonn, Germany

Tiankai Liu, Massachusetts Institute of Technology, Cambridge, MA, USA

Alex Schwendner, Two Sigma Investments, New York, NY, USA

Dmitry Vaintrob, Harvard University, Cambridge, MA, USA

Elena Yudovina, University of Cambridge, Cambridge, United Kingdom

with historical interludes by Slava Gerovitch, Massachusetts Institute of Technology, Cambridge, MA, USA

Edition details

• Publisher: American Mathematical Society
• Publication date: 2011
• Language: English
• ISBN 10: 0821853511
• ISBN 13: 9780821853511
• Binding: Paperback
• Number of pages: 228