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Yu, Xiaoxiang

Residues of standard intertwining operators on \(p\)-adic classical groups. (English) Zbl 1344.22008

Forum Math. 28, No. 4, 609-648 (2016).
The author studies the standard intertwining operators attached to representations induced from irreducible unitary supercuspidal representations on maximal parabolic subgroups of \(p\)-adic classical groups.A formula to transfer the integrals over the unipotent radical to orbital integrals under the adjoint action of the Levi subgroup is given. So the residue of such standard intertwining operators at \(s = 0\) is determined by compact orbital integrals.
Reviewer: L. N. Vaserstein (University Park)

Cited in 1 Document

MSC:

22E50 Representations of Lie and linear algebraic groups over local fields

Keywords:

residue; standard intertwining operators; supercuspidal representations; reducibility; orbital integral
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References:

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