Article ID Journal Published Year Pages File Type
4593722 Journal of Number Theory 2015 70 Pages PDF
Abstract

We study the local descent from irreducible, supercuspidal, self-conjugate representations of GL2n(E)GL2n(E) to irreducible, supercuspidal and generic representations of the quasi-split unitary group U2n(F)U2n(F) in 2n   variables, corresponding to a quadratic extension E/FE/F of p  -adic fields. We construct the descent and prove that it is nontrivial, supercuspidal, generic and irreducible. We write the relations with poles of local gamma factors and functoriality. We also consider representations as above of GL2n+1(E)GL2n+1(E).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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