Theory of Hopf algebras attached to group schemes [electronic resource] / Hiroshi Yanagihara.

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Yanagihara, Hiroshi, 1934-
Format: Electronic eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, 1977.
Series:Lecture notes in mathematics (Springer-Verlag) ; 614.
Subjects:
Table of Contents:
  • Group schemes over a field
  • Group subschemes of a group scheme
  • Coalgebras over a field
  • Hopf algebras over a field
  • Structures of colocal bigebras
  • Formal groups over a field
  • Structures of formal groups as local rings
  • Algebraic Hopf subalgebras
  • Rational representations of group schemes
  • Joins and intersections of group subschemes
  • Adjoint representations of group schemes
  • Normalizers of Hopf subalgebras and group subschemes
  • Centralizers of Hopf subalgebras and group subschemes
  • Commutators of Hopf subalgebras and group subschemes
  • Lie algebras attached to group schemes
  • Left invariant semi-derivations of group varieties
  • Algebraic schemes on which a group scheme operates
  • Isogenies of group varieties
  • Kernels of purely inseparable isogenies.