Timeline for a question on Deligne-Lusztig characters
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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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
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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 |