Fundamentals of Hopf Algebras

• Main Author: Underwood, Robert G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Universitext,
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Commutative algebra.; Commutative rings.; Computer science > Mathematics.; Computer mathematics.; Number theory.; Associative Rings and Algebras.; Commutative Rings and Algebras.; Number Theory.; Mathematical Applications in Computer Science.

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...

Table of Contents:

• Preface
• Notation
• 1. Algebras and Coalgebras
• 2. Bialgebras
• 3. Hopf Algebras
• 4. Applications of Hopf Algebras
• Bibliography.