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Is there a book on linear algebraic groups using the scheme language (i.e. not Springer or Borel, but like Waterhouse, but more in-depth)?

The book should discuss topics like Borel subgroups etc.

(Related question: Books on reductive groups using scheme theory)

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How about Jantzen's "Representations of Algebraic Groups"? – stankewicz Jul 14 '11 at 15:08
How about SGA3? – Jason Starr Jul 14 '11 at 15:10
Demazure-Gabriel – Daniel Larsson Jul 14 '11 at 15:25
James Milne also has a book on his web site. If I remember correctly, he's still working on parts of it. – JBorger Jul 14 '11 at 22:28
@stankewicz: Your link is to corrections for the first edition of Jantzen's book, which was republished in 2003 in a corrected and much expanded second edition by AMS. (That too has minor faults, but so far my list of those is short.) Anyway, all books mentioned here that include the Borel-Chevalley structure theory have to rely to some extent on other sources. The subject is rich but doesn't allow for a completely self-contained account of finite length: too much algebraic geometry, group theory, category theory. Milne's still incomplete book should be a useful synthesis. – Jim Humphreys Aug 1 '11 at 22:06

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