Introduction to representation theory
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Author
Publication
2011 - American Mathematical Society, Providence, R.I, Rhode Island
Language
English
Word Count
57,000 words, Guess
Page Count
228 pages
Identifiers
- Open LibraryOL25045837M
- ISBN-139780821853511
- OCLC Control Number702647555
- OCLC Control Numberintroductiontore00etin
- Library of Congress Control Number2011004787
Classifications
- DDC512/.46
- LCCQA155 .I586 2011
Description
"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."--Page 4 of cover.
Subjects
Topics
Series Statement
- Student mathematical library -- v. 59
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