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.
具體描述
讀後感
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同時讀瞭這本還有Humphrey和Borel，拿的Humphrey做教材被人罵瞭。。。最後勉強刷完Humphrey大部分習題覺得。。。還是Borel那本寫的最好。
评分到現在，我仍舊不喜歡這本書的風格. 這個東西實在是太坑瞭……
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评分存在同構定理的處理有些繁瑣，也沒有使用更現代的代數幾何語言。如今網絡比當年發達不少，可考慮其他講義作為代替，再讀一些survey比如Fiona Murnaghan在Clay Mathematics Proceedings Volume 4寫的介紹，如有興趣再去尋找證明。
评分這一本則是進階的綫性代數群讀得好辛苦，特彆是後半部分幾個大定理的證明特彆繁瑣，而其他書上也找不到簡化的證明，常常是給個超鏈接鏈到這本書上。
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