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...

詳細記述

保存先:
書誌詳細
第一著者: Underwood, Robert G.
フォーマット: Livre numérique
言語:Anglais
出版事項: New York, NY : Springer New York 2011.
Cham : Springer Nature
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注記: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• An introduction to Hopf algebras, Robert G. Underwood, New York, N.Y., Springer Science+Business Media, LLC, 2011, 1 vol. (XIV-273 p.), 978-0-387-72765-3
• Visions and strategies in European integration, a North European perspective, Lars Lundqvist, Lars Olof Persson, eds, Berlin, Springer-Verlag, 1993, 1 vol. (ix-290 p.), 3-540-56615-5
• An Introduction to Hopf Algebras, Texte imprimé, 9781489997845
目次:
  • 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.