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Hopf Algebras : Cambridge Tracts in Mathematics - Eiiche Abe

Hopf Algebras

Cambridge Tracts in Mathematics

By: Eiiche Abe, B. Bollobas (Editor), W. Fulton (Editor), A. Katok (Editor), F. Kirwan (Editor)


Published: 2nd August 2004
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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.

Modules and algebras
Hopf algebras
Hopf algebras and representations of groups
Applications to algebraic groups
Applications to field theory
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521604895
ISBN-10: 0521604893
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 300
Published: 2nd August 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 21.6 x 14.0  x 1.7
Weight (kg): 0.38