| Hopf Algebras Revised Edition Contributor(s): Abe, Eiichi (Author), Eiichi, Abe (Author), Bollobas, Bela (Editor) |
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ISBN: 0521604893 ISBN-13: 9780521604895 Publisher: Cambridge University Press OUR PRICE: $68.39 Product Type: Paperback - Other Formats Published: June 2004 Annotation: The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as Lie groups, algebraic groups and Galois theory. This book is an introduction to the basic theory of Hopf algebras for the reader already familiar with the basic ideas of linear algebra and commutative algebra. After introducing and discussing the basic properties of coalgebras, bialgebras and Hopf algebras, the author treats the fundamental structure theorem of bi-modules and Sullivan??'s proof of the existence and uniqueness of integrals of Hopf algebras. This book will interest graduate students and research workers who specialise in algebra. |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Mathematics | Algebra - General |
| Dewey: 512.55 |
| Series: Cambridge Tracts in Mathematics (Paperback) |
| Physical Information: 0.67" H x 5.5" W x 8.5" (0.84 lbs) 300 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as Lie groups, algebraic groups and Galois theory. This book is an introduction to the basic theory of Hopf algebras for the reader already familiar with the basic ideas of linear algebra and commutative algebra. After introducing and discussing the basic properties of coalgebras, bialgebras and Hopf algebras, the author treats the fundamental structure theorem of bi-modules and Sullivan's proof of the existence and uniqueness of integrals of Hopf algebras. This book will interest graduate students and research workers who specialise in algebra. |