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Look Inside Hopf Algebras

Hopf Algebras

$81.99 (C)

Part of Cambridge Tracts in Mathematics

  • Date Published: June 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521604895

$ 81.99 (C)
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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.

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    Product details

    • Date Published: June 2004
    • format: Paperback
    • isbn: 9780521604895
    • length: 300 pages
    • dimensions: 216 x 140 x 17 mm
    • weight: 0.38kg
    • availability: Available
  • 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.

  • Author

    Eiichi Abe

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