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.
"synopsis" may belong to another edition of 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
"About this title" may belong to another edition of this title.
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Introduction to Representation Theory (Student Mathematical Library, 59)
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Paperback. Condition: New. 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. Seller Inventory # LU-9780821853511
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Introduction to Representation Theory (eng)
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Introduction to Representation Theory (Student Mathematical Library)
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Introduction to Representation Theory
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Paperback. Condition: new. Paperback. 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. Holistic introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780821853511
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Introduction to Representation Theory (Student Mathematical Library)
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