Fundamentals of Hopf algebras [electronic resource] / Robert G. Underwood.
Underwood, Robert G. (Robert Gene), author.
2015
QA613.8
Available Online

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Title Fundamentals of Hopf algebras [electronic resource] / Robert G. Underwood.
Author Underwood, Robert G. (Robert Gene), author.
ISBN 9783319189918 electronic book
3319189913 electronic book
9783319189901
DOI https://doi.org/10.1007/978-3-319-18991-8
Published Cham : Springer, 2015.
Language English
Description 1 online resource (xiv, 150 pages) : illustrations.
Item Number 10.1007/978-3-319-18991-8 doi
Call Number QA613.8
Dewey Decimal Classification 512/.55
Summary This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras, and Hopf algebras. The last chapter (Chapter 4) discusses several applications of Hopf algebras, some of which are further developed in the author's 2011 publication, An Introduction to Hopf Algebras. The book may be used as the main text or as a supplementary text for a graduate algebra course. Prerequisites for this text include standard material on groups, rings, modules, algebraic extension fields, finite fields, and linearly recursive sequences. The book consists of four chapters. Chapter 1 introduces algebras and coalgebras over a field K; Chapter 2 treats bialgebras; Chapter 3 discusses Hopf algebras and Chapter 4 consists of three applications of Hopf algebras. Each chapter begins with a short overview and ends with a collection of exercises which are designed to review and reinforce the material. Exercises range from straightforward applications of the theory to problems that are devised to challenge the reader. Questions for further study are provided after selected exercises. Most proofs are given in detail, though a few proofs are omitted since they are beyond the scope of this book.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed June 18, 2015).
Series Universitext.
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Preface
Notation
1. Algebras and Coalgebras
2. Bialgebras
3. Hopf Algebras
4. Applications of Hopf Algebras
Bibliography.

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