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Algebraic Groups, Lie Groups, and their Arithmetic Subgroups by James S. Milne (2011)

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Author-hosted notes, version 3.00 (1 April 2011): jmilne.org/math/CourseNotes/ALA.pdf . Section 14 treats characters, groups of multiplicative type and tori; Definition 14.24 defines a torus through splitting over a separable closure.

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