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Mar 29, 2017 at 5:26 comment added Mikhail Borovoi @LSpice: Thank you, I have edited my answer and have written that this fact is well known.
Mar 29, 2017 at 5:16 history edited Mikhail Borovoi CC BY-SA 3.0
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Mar 29, 2017 at 1:03 comment added LSpice For what it's worth, although I don't know an earlier reference, the fact about Levi subgroups certainly predates Malle–Testerman (not that you claimed otherwise). For example, Kottwitz uses it on p. 294 of "Sign changes in harmonic analysis on reductive groups" in 1983, regarding it there as obvious.
Mar 28, 2017 at 5:58 history edited Mikhail Borovoi CC BY-SA 3.0
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Mar 28, 2017 at 5:36 history answered Mikhail Borovoi CC BY-SA 3.0