An introduction to hopf algebras

The study of Hopf algebras spans many fields in mathematics including topology, algebraic geometry, algebraic number theory, Galois module theory, cohomology of groups, and formal groups and has wide-ranging  connections to fields from theoretical physics to computer science. This text is unique in...

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Bibliographic Details
Main Author: Underwood, Robert G.
Corporate Author: SpringerLink (Onlin
Resource Type: Electronic Resource
Language:English
Published: New York Springer c2011.
Subjects:
Online Access:Available for University of the Philippines Diliman via SpringerLink. Click here to access
Table of Contents:
  • Preface
  • Some Notation
  • 1. The Spectrum of a Ring.-2. The Zariski Topology on the Spectrum.-3. Representable Group Functors.-4. Hopf Algebras. -5. Larson Orders.-6. Formal Group Hopf Orders.-7. Hopf Orders in KC_p.-8. Hopf Orders in KC_{p^2}.-9. Hopf Orders in KC_{p^3}.-10. Hopf Orders and Galois Module Theory.-11. The Class Group of a Hopf Order.-12. Open Questions and Research Problems.-Bibliography.-Index.