Theory of Hopf algebras attached to group schemes
著者
書誌事項
Theory of Hopf algebras attached to group schemes
(Lecture notes in mathematics, 614)
Springer-Verlag, 1977
- : Berlin
- : New York
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注記
Bibliography: p. [299]-301
Includes index
内容説明・目次
目次
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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