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  • Book
  • © 1977

Theory of Hopf Algebras Attached to Group Schemes

Authors:

  1. Hiroshi Yanagihara
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 614)

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Table of contents (19 chapters)

  1. Front Matter

    Pages I-VII
    PDF

  2. Group schemes over a field

    • Hiroshi Yanagihara
    Pages 1-14

  3. Group subschemes of a group scheme

    • Hiroshi Yanagihara
    Pages 15-28

  4. Coalgebras over a field

    • Hiroshi Yanagihara
    Pages 29-44

  5. Hopf algebras over a field

    • Hiroshi Yanagihara
    Pages 45-56

  6. Structures of colocal bigebras

    • Hiroshi Yanagihara
    Pages 57-67

  7. Formal groups over a field

    • Hiroshi Yanagihara
    Pages 68-81

  8. Structures of formal groups as local rings

    • Hiroshi Yanagihara
    Pages 82-96

  9. Algebraic Hopf subalgebras

    • Hiroshi Yanagihara
    Pages 97-112

  10. Rational representations of group schemes

    • Hiroshi Yanagihara
    Pages 113-125

  11. Joins and intersections of group subschemes

    • Hiroshi Yanagihara
    Pages 126-141

  12. Adjoint representations of group schemes

    • Hiroshi Yanagihara
    Pages 142-153

  13. Normalizers of Hopf subalgebras and group subschemes

    • Hiroshi Yanagihara
    Pages 154-165

  15. Commutators of Hopf subalgebras and group subschemes

    • Hiroshi Yanagihara
    Pages 175-190

  16. Lie algebras attached to group schemes

    • Hiroshi Yanagihara
    Pages 191-202

  17. Left invariant semi-derivations of group varieties

    • Hiroshi Yanagihara
    Pages 203-215

  18. Algebraic schemes on which a group scheme operates

    • Hiroshi Yanagihara
    Pages 216-230

  19. Isogenies of group varieties

    • Hiroshi Yanagihara
    Pages 231-242

  20. Kernels of purely inseparable isogenies

    • Hiroshi Yanagihara
    Pages 243-257
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Keywords

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Bibliographic Information

  • Book Title: Theory of Hopf Algebras Attached to Group Schemes

  • Authors: Hiroshi Yanagihara

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0068376

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1977

  • Softcover ISBN: 978-3-540-08444-0Published: 01 September 1977

  • eBook ISBN: 978-3-540-37077-2Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: CCCXX, 310

  • Topics: Algebra

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Buy it now

eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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