Robert G Underwood

(Author)

Fundamentals of Hopf Algebras (2015)Paperback - 2015, 25 June 2015

Fundamentals of Hopf Algebras (2015)
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Part of Series
Universitext
Print Length
150 pages
Language
English
Publisher
Springer
Date Published
25 Jun 2015
ISBN-10
3319189905
ISBN-13
9783319189901

Description

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.

Product Details

Author:
Robert G Underwood
Book Edition:
2015
Book Format:
Paperback
Country of Origin:
NL
Date Published:
25 June 2015
Dimensions:
23.39 x 15.6 x 0.89 cm
ISBN-10:
3319189905
ISBN-13:
9783319189901
Language:
English
Location:
Cham
Pages:
150
Publisher:
Weight:
240.4 gm

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