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Sep 21, 2019 at 19:46 vote accept Spencer Leslie
Sep 19, 2019 at 0:30 comment added Scott Andrews A good reference for the character theory of the finite general linear groups is "Hall Functions and Symmetric Polynomials," by MacDonald, which I'm guessing you're familiar with. Thiem and Vinroot describe the analogous construction for the finite unitary groups in "On the characteristic map of finite unitary groups."
Sep 17, 2019 at 18:54 comment added Spencer Leslie Thank you for the response! I am aware of the upper triangularity, but hoped for a more exact formulation. I find the character theory comment very interesting; is there a good reference?
Sep 17, 2019 at 18:46 history answered Scott Andrews CC BY-SA 4.0