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Hopf Algebras

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Synopses & Reviews

Publisher Comments:

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.

Synopsis:

An introduction to the basic theory of Hopf algebras for those familiar with basic linear and commutative algebra.

Table of Contents

Preface; Notation; 1. Modules and algebras; 2. Hopf algebras; 3. Hopf algebras and representations of groups; 4. Applications to algebraic groups; 5. Applications to field theory; Appendix; References; Index.

Product Details

ISBN:
9780521604895
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Eiichi, Abe
Author:
Bollobas, B.
Author:
Abe, Eiichi
Author:
Fulton, W.
Author:
Sarnak, P.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Applied
Subject:
Algebra - General
Subject:
Mathematics-Applied
Edition Description:
Trade paper
Series:
Cambridge Tracts in Mathematics
Series Volume:
74
Publication Date:
20040431
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
300
Dimensions:
5.51x8.50x.67 in. .84 lbs.

Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Calculus » General

Hopf Algebras New Trade Paper
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$82.75 In Stock
Product details 300 pages Cambridge University Press - English 9780521604895 Reviews:
"Synopsis" by , An introduction to the basic theory of Hopf algebras for those familiar with basic linear and commutative algebra.
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