Some results on reducibility of parabolic induction for classical groups (CROSBI ID 259530)
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Podaci o odgovornosti
Lapid, Erez ; Tadić, Marko
engleski
Some results on reducibility of parabolic induction for classical groups
Given a (complex, smooth) irreducible representation π of the general linear group over a non-archimedean local field and an irreducible supercuspidal representation σ of a classical group, it is shown that the (normalized) parabolic induction of tensor product of π and σ is reducible if there exists ρ in the supercuspidal support of π such that parabolic induction of tensor product of ρ and σ is reducible. In special cases, an irreducibility criteria for parabolic induction of tensor product of π and σ when the above condition is not satisfied, is given.
classical groups, p-adic fields, parabolic induction, irreducibility
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Podaci o izdanju
142 (2)
2020.
505-546
objavljeno
0002-9327
1080-6377
10.1353/ajm.2020.0014