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Yanagihara, Hiroshi.

Theory of Hopf Algebras Attached to Group Schemes [electronic resource] / by Hiroshi Yanagihara. - CCCXX, 310 p. online resource. - Lecture Notes in Mathematics, 614 0075-8434 ; . - Lecture Notes in Mathematics, 614 .

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.

ISBN: 9783540370772

Standard No.: 10.1007/BFb0068376 doi

Subjects--Topical Terms:
Algebra.
Algebra.

LC Class. No.: QA150-272

Dewey Class. No.: 512