Algebraic Groups - James Milne

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Algebraic GroupsThe theory of group schemes offinite type over a MilneVersion 20, 2015An Algebraic group is a matrix group defined by polynomial conditions. More abstractly,it is a group scheme of finite type over a field. These notes are a comprehensive modernintroduction to the theory of Algebraic Groups assuming only the knowledge of algebraicgeometry usually acquired in a first is still only a preliminary version, but is the last before the final version. It will berevised again before publication. In particular, repetitions, references to my website, andnotational inconsistencies will be removed; exercises and examples will be added; errorswill be corrected. The final version will be more tightly written, and will include 500 pages+ front matter. I welcome suggestions for improvements to the final version, which can besent to me at jmilne at information@misc{milneiAG,author={ Milne , James S.}}

Algebraic Groups The theory of group schemes of finite type over a field. J.S. Milne Version 2.00 December 20, 2015. This is a rough preliminary version of the book published by CUP in 2017, The final version is substantially rewritten, and the numbering has changed.

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