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Algebraic groups : the theory of group schemes of finite type over a field / [electronic resource]
- 作者： Milne, J. S., author.
- 其他題名：
- Cambridge studies in advanced mathematics ;
- 出版： Cambridge : Cambridge University Press
- 叢書名： Cambridge studies in advanced mathematics ;170
- 主題： Linear algebraic groups. , Group theory.
- ISBN： 9781316711736 (electronic bk.) 、 9781107167483 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Title from publisher's bibliographic system (viewed on 24 Oct 2017).
- 摘要註: 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.
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讀者標籤：
- 系統號： 005473730 | 機讀編目格式
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