Algebraic Groups: The Theory of Group Schemes of Finite Type - download pdf or read online

By J. S. Milne

Algebraic teams play a lot a similar function for algebraists as Lie teams play for analysts. This publication is the 1st complete creation to the idea of algebraic team 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 learn common algebraic staff schemes over a box and culminate in an evidence of the Barsotti–Chevalley theorem, knowing each algebraic crew as an extension of an abelian type by means of an affine crew. After a overview of the Tannakian philosophy, the writer offers brief bills of Lie algebras and finite crew schemes. The later chapters deal with reductive algebraic teams over arbitrary fields, together with the Borel–Chevalley constitution thought. Solvable algebraic teams are studied intimately. necessities have additionally been stored to a minimal in order that the booklet is obtainable to non-specialists in algebraic geometry.

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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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