arXiv:1904.08188 Abstract | arXiv Analytics

arXiv:1904.08188 [math.RT]Abstract References Reviews Resources

Descents of unipotent representations of finite unitary groups

Published 2019-04-17Version 1

Inspired by the Gan-Gross-Prasad conjecture and the descent problem for classical groups, in this paper we study the descents of unipotent representations of unitary groups over finite fields. We give the first descents of unipotent representations explicitly, which are unipotent as well. Our results include both the Bessel case and Fourier-Jacobi case, which are related via theta correspondence.

Comments: 29 pages, preliminary version. Comments are welcome

Categories: math.RT

Keywords: unipotent representations, finite unitary groups, gan-gross-prasad conjecture, descent problem, finite fields

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