Introduction to representation theory
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, Li…
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- Full title :Introduction to representation theory / Pavel Etingof, Oleg Golberg, Sebastian Hensel, Tiankai Liu, Alex Schwendner, Dmitry Vaintrob, Elena Yudovina ; with historical interludes by Slava Gerovitch.
Summary
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.
Read More ↓Edition Statements
- Publication Date:c011.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:c011.
The Physical Object
- Description:vii, 228 s. : : illustrations ; : 22 cm.
Edition Identifiers
- ISBN:9780821853511, 0821853511
- oclc:ocn942970605
- LC Classification:QA155
- Dewey Decimal:512.46
Table of Contents
1. Introduction -- 2. Basic notions of representation theory -- 3. General results of representation theory -- 4. Representations of finite groups: Basic results -- 5. Representations of finite groups: Further results -- 6. Quiver representations -- 7. Introduction to categories -- 8. Homological algebra -- 9. Structure of finite dimensional algebras.
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