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## Fundamentals of Hopf algebras [electronic resource]

Material type
E-Book(소장)
Personal Author
Underwood, Robert G. (Robert Gene).
Title Statement
Fundamentals of Hopf algebras [electronic resource] / Robert G. Underwood.
Publication, Distribution, etc
Cham :   Springer International Publishing :   Imprint: Springer,   2015.
Physical Medium
1 online resource (xiv, 150 p.) : ill.
Series Statement
Universitext,0172-5939
ISBN
9783319189918
요약
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.
General Note
Title from e-Book title page.
Content Notes
Preface -- Notation -- 1. Algebras and Coalgebras -- 2. Bialgebras -- 3. Hopf Algebras -- 4. Applications of Hopf Algebras -- Bibliography.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.
Hopf algebras.
Short cut
 000 00000nam u2200205 a 4500 001 000046037925 005 20200723172111 006 m d 007 cr 008 200723s2015 sz a ob 001 0 eng d 020 ▼a 9783319189918 040 ▼a 211009 ▼c 211009 ▼d 211009 082 0 4 ▼a 512/.55 ▼2 23 084 ▼a 512.55 ▼2 DDCK 090 ▼a 512.55 100 1 ▼a Underwood, Robert G. ▼q (Robert Gene). 245 1 0 ▼a Fundamentals of Hopf algebras ▼h [electronic resource] / ▼c Robert G. Underwood. 260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2015. 300 ▼a 1 online resource (xiv, 150 p.) : ▼b ill. 490 1 ▼a Universitext, ▼x 0172-5939 500 ▼a Title from e-Book title page. 504 ▼a Includes bibliographical references and index. 505 0 ▼a Preface -- Notation -- 1. Algebras and Coalgebras -- 2. Bialgebras -- 3. Hopf Algebras -- 4. Applications of Hopf Algebras -- Bibliography. 520 ▼a 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. 530 ▼a Issued also as a book. 538 ▼a Mode of access: World Wide Web. 650 0 ▼a Hopf algebras. 830 0 ▼a Universitext. 856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-18991-8 945 ▼a KLPA 991 ▼a E-Book(소장)

### Holdings Information

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