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It seems that generic representation only occurs for quasi-split groups.

For non-quasi split groups, is it expected that generic representation doesn’t exist?

Thank you in advance!

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    $\begingroup$ I think of genericity as having a Whittaker model, and of the Whittaker model as defined by induction from the unipotent radical of a Borel subgroup. Without a Borel, what is the definition of genericity? $\endgroup$
    – LSpice
    Commented Nov 11, 2022 at 14:37
  • $\begingroup$ @LSpice, oh, I got to know what I am missing! Thank you very much! $\endgroup$
    – Monty
    Commented Nov 11, 2022 at 14:39
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    $\begingroup$ You can have generic parameters though, and some partial analogues, like kirillov models for GL(2,D) $\endgroup$
    – Kimball
    Commented Nov 12, 2022 at 3:34
  • $\begingroup$ @Kimball, thank you very much for illumination. $\endgroup$
    – Monty
    Commented Nov 14, 2022 at 13:20

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