Theory of Hopf Algebras Attached to Group Schemes

Hiroshi Yanagihara (auth.)9780387084442, 0-387-08444-4

Table of contents :
Group schemes over a field….Pages 1-14
Group subschemes of a group scheme….Pages 15-28
Coalgebras over a field….Pages 29-44
Hopf algebras over a field….Pages 45-56
Structures of colocal bigebras….Pages 57-67
Formal groups over a field….Pages 68-81
Structures of formal groups as local rings….Pages 82-96
Algebraic Hopf subalgebras….Pages 97-112
Rational representations of group schemes….Pages 113-125
Joins and intersections of group subschemes….Pages 126-141
Adjoint representations of group schemes….Pages 142-153
Normalizers of Hopf subalgebras and group subschemes….Pages 154-165
Centralizers of Hopf subalgebras and group subschemes….Pages 166-174
Commutators of Hopf subalgebras and group subschemes….Pages 175-190
Lie algebras attached to group schemes….Pages 191-202
Left invariant semi-derivations of group varieties….Pages 203-215
Algebraic schemes on which a group scheme operates….Pages 216-230
Isogenies of group varieties….Pages 231-242
Kernels of purely inseparable isogenies….Pages 243-257