2017
DOI: 10.48550/arxiv.1703.02597
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A Generalized Theta lifting, CAP representations, and Arthur parameters

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Cited by 2 publications
(3 citation statements)
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“…The aim of this article is to explore these issues for BD-covers of G = Sp(W ), for general n and m | N F . Note that the representation theory for these covers has also been considered in the recent work [33].…”
Section: J Adams Defined Stable Conjugacy On Gmentioning
confidence: 99%
See 1 more Smart Citation
“…The aim of this article is to explore these issues for BD-covers of G = Sp(W ), for general n and m | N F . Note that the representation theory for these covers has also been considered in the recent work [33].…”
Section: J Adams Defined Stable Conjugacy On Gmentioning
confidence: 99%
“…This is ultimately based on Flicker's theory [13] for GL(2, F ) and makes use of Kubota's cocycles; both are unavailable in higher ranks.This offers a testing ground for notions of stable conjugacy, since the transfer factors should transform under stable conjugacy by some explicit character, as in the case of reductive groups [32].The aim of this article is to explore these issues for BD-covers of G = Sp(W ), for general n and m | N F . Note that the representation theory for these covers has also been considered in the recent work [33].…”
mentioning
confidence: 99%
“…ϕ(g) θ(g, h) dg as ϕ runs over the functions in π and lets σ be the representation of H(F )\H(A) generated by the functions f ϕ . The most familiar example is the classical theta correspondence, where the integral kernel θ is constructed from the Weil representation (see Gan [15] for recent progress), while other classes of such integrals are given by the authors and Bump [7] and by Leslie [33].…”
Section: Introductionmentioning
confidence: 99%