Algebraic Groups: The Theory of Group Schemes of Finite Type by J. S. Milne PDF

By J. S. Milne

ISBN-10: 1107167485

ISBN-13: 9781107167483

Algebraic teams play a lot an identical function for algebraists as Lie teams play for analysts. This e-book is the 1st complete creation to the idea of algebraic team schemes over fields that incorporates the constitution idea of semisimple algebraic teams, and is written within the language of contemporary algebraic geometry. the 1st 8 chapters research common algebraic workforce schemes over a box and culminate in an evidence of the Barsotti–Chevalley theorem, understanding each algebraic team as an extension of an abelian type by way of an affine team. After a overview of the Tannakian philosophy, the writer presents brief debts of Lie algebras and finite workforce schemes. The later chapters deal with reductive algebraic teams over arbitrary fields, together with the Borel–Chevalley constitution conception. Solvable algebraic teams are studied intimately. necessities have additionally been saved to a minimal in order that the e-book 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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