H. Yanagihara

Theory of Hopf Algebras Attached to Group Schemes

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 614
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-08444-0
• 1977.
• Seitenzahl: 320
• Erscheinungstermin: 1. September 1977
• Englisch
• Abmessung: 235mm x 155mm x 18mm
• Gewicht: 508g
• ISBN-13: 9783540084440
• ISBN-10: 3540084444
• Artikelnr.: 23556818

Inhaltsangabe

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.