Read e-book online Algebraic Groups: The Theory of Group Schemes of Finite Type PDF

By J. S. Milne

Algebraic teams play a lot an analogous position for algebraists as Lie teams play for analysts. This publication is the 1st entire creation to the speculation of algebraic crew schemes over fields that comes with the constitution thought of semisimple algebraic teams, and is written within the language of recent algebraic geometry. the 1st 8 chapters examine normal algebraic crew schemes over a box and culminate in an explanation of the Barsotti–Chevalley theorem, figuring out each algebraic crew as an extension of an abelian style by way of an affine team. After a evaluate of the Tannakian philosophy, the writer presents brief money owed of Lie algebras and finite workforce schemes. The later chapters deal with reductive algebraic teams over arbitrary fields, together with the Borel–Chevalley constitution idea. Solvable algebraic teams are studied intimately. necessities have additionally been saved to a minimal in order that the ebook is offered to non-specialists in algebraic geometry.

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Read Online or Download Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field (Cambridge Studies in Advanced Mathematics) PDF

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Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field (Cambridge Studies in Advanced Mathematics) by J. S. Milne


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