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Introduction to representation theory
Paperback
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- Book 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 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
- Product Details
-
- ISBN
- 9780821853511
- Format
- Paperback
- Publisher
- American Mathematical Society, (30 August 2011)
- Number of Pages
- 228
- Weight
- 295 grams
- Language
- English
- Dimensions
- 218 x 144 x 14 mm
- Series:
- See all books in this series
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