Theory of Hopf algebras attached to group schemes

Bibliographic Information

Theory of Hopf algebras attached to group schemes

Hiroshi Yanagihara

(Lecture notes in mathematics, 614)

Springer-Verlag, 1977

  • : Berlin
  • : New York

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Note

Bibliography: p. [299]-301

Includes index

Description and Table of Contents

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.

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