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Sep 2, 2018 at 10:20 comment added user148212 Your assertion "It is known that if T^F is anisotropic, then ±R_T,θ is cuspidal." is incorrect in general. (Already not true for SL_2.)
Sep 1, 2018 at 22:41 vote accept Q-Zh
Sep 1, 2018 at 21:34 comment added Dror Speiser This is also false for $\theta_{10} $, Srinivasen's Sp(4,q) cuspidal unipotent representation. See, for example, Aubert's Complex Modular Representations of the Group Sp(4,q). It appears in two Deligne-Lusztig characters, both of which are composed of more than two irreducible representations, and in both there's a mixture of plus and minus signs. I'm pretty sure this is a minimal example with respect to rank.
Sep 1, 2018 at 20:26 history edited Jim Humphreys CC BY-SA 4.0
deleted 8 characters in body; edited tags
Sep 1, 2018 at 20:22 answer added Jim Humphreys timeline score: 6
Sep 1, 2018 at 1:10 comment added user125639 My guess is that this is too good to be true.
Aug 31, 2018 at 18:27 history asked Q-Zh CC BY-SA 4.0