Theory Of Hopf Algebras Attached To Group Schemes (lecture Notes In Mathematics ; 614)

Hiroshi Yanagihara. Includes Index. Bibliography: P. [299]-301. 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