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  E-mail Message: I thought you might be interested in this item at http://www.worldcat.org/oclc/1004615128 Title: Algebraic groups : the theory of group schemes of finite type over a field Author: J S Milne Publisher: Cambridge, United Kingdom ; New York, New York : Cambridge University Press, 2017. ©2017 ISBN/ISSN: 9781316711736 1316711730 OCLC:1004615128

  
  

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Algebraic groups : the theory of group schemes of finite type over a field

Author:	J S Milne
Publisher:	Cambridge, United Kingdom ; New York, New York : Cambridge University Press, 2017. ©2017
Series:	Cambridge studies in advanced mathematics, 170.
Edition/Format:	eBook : Document : EnglishView all editions and formats
Summary:	"Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in the language of modern algebraic geometry. The first eight chapters study general algebraic group schemes over a field and culminate in a proof of the Barsotti-Chevalley theorem, realizing every algebraic group as an extension of an abelian variety by an affine group. After a review of the Tannakian philosophy, the author provides short accounts of Lie algebras and finite group schemes. The later chapters treat reductive algebraic groups over arbitrary fields, including the Borel-Chevalley structure theory. Solvable algebraic groups are studied in detail. Prerequisites have also been kept to a minimum so that the book is accessible to non-specialists in algebraic geometry."--Publisher.  Read more...
Rating:	(not yet rated) 0 with reviews - Be the first.
Subjects	Geometry, Algebraic. Group theory.
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