#
Algebraic groups : the theory of group schemes of finite type over a field
Resource Information
The work ** Algebraic groups : the theory of group schemes of finite type over a field** represents a distinct intellectual or artistic creation found in **University of Manitoba Libraries**. This resource is a combination of several types including: Work, Language Material, Books.

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

The work

**Algebraic groups : the theory of group schemes of finite type over a field**represents a distinct intellectual or artistic creation found in**University of Manitoba Libraries**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Algebraic groups : the theory of group schemes of finite type over a field

- Title remainder
- the theory of group schemes of finite type over a field

- Statement of responsibility
- J.S. Milne, University of Michigan, Ann Arbor

- Language
- eng

- 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

- Cataloging source
- BTCTA

- Dewey number
- 516.35

- Illustrations
- illustrations

- Index
- index present

- LC call number
- QA564

- LC item number
- .M525 2017

- Literary form
- non fiction

- Nature of contents
- bibliography

- Series statement
- Cambridge studies in advanced mathematics

- Series volume
- 170

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