The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and expanded, extends the theory over arbitrary fields, which are not necessarily algebraically closed. It thus represents a higher aim. As in the first edition, the book includes a self-contained treatment of the prerequisites from algebraic geometry and commutative algebra, as well as basic results on reductive groups. As a result, the first part of the book can well serve as a text for an introductory graduate course on linear algebraic groups.
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到现在，我仍旧不喜欢这本书的风格. 这个东西实在是太坑了……
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评分存在同构定理的处理有些繁琐，也没有使用更现代的代数几何语言。如今网络比当年发达不少，可考虑其他讲义作为代替，再读一些survey比如Fiona Murnaghan在Clay Mathematics Proceedings Volume 4写的介绍，如有兴趣再去寻找证明。
评分到现在，我仍旧不喜欢这本书的风格. 这个东西实在是太坑了……
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