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Jun 20, 2018 at 14:10 comment added Mikhail Borovoi @Skip: The oldest published reference? The book by Onishchik and Vinberg of 1969 ("Seminar on algebraic groups and Lie groups", in Russian, mimeographed notes, 200 copies).
Jun 20, 2018 at 14:02 comment added Mikhail Borovoi @Skip: The most convenient published reference? One can find a description of $P^\vee/Q^\vee$ in the book "Lie Groups and Algebraic Groups" by Onishchik and Vinberg, Springer-Verlag 1990. See Table 3 on page 298.
Jun 19, 2018 at 15:33 vote accept Mikhail Borovoi
Jun 19, 2018 at 15:25 comment added Skip What is the oldest or most convenient published reference for the explicit description of the center of the split group in terms of co-roots for which you refer to Brian's cheat sheet? Of course one can just work out the exercise, but for writing a paper it is convenient to be able to refer to something. Some of it is in section 17 of Springer's Linear algebraic groups, 2nd edition. It is also in my paper with Anne Queguiner Restricting the Rost invariant to the Center ( dx.doi.org/10.1090/S1061-0022-08-00993-X ), where $Spin(2m,2m)$ is Example 8.6.
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Jan 28, 2018 at 15:03 history edited Mikhail Borovoi CC BY-SA 3.0
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Jan 28, 2018 at 14:32 history edited Mikhail Borovoi CC BY-SA 3.0
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Jan 28, 2018 at 14:22 history asked Mikhail Borovoi CC BY-SA 3.0