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On the non-vanishing of theta liftings of tempered representations of U(p,q)
Advances in Mathematics ( IF 1.5 ) Pub Date : 2020-03-01 , DOI: 10.1016/j.aim.2020.106984
Hiraku Atobe

In this paper, we give an explicit determination of the non-vanishing of the theta liftings for unitary dual pairs (U(p,q), U(r,s)). Assuming the local Gan-Gross-Prasad conjecture, we determine when theta lifts of tempered representations are nonzero in terms of the local Langlands correspondence.

中文翻译:

关于 U(p,q) 的调和表示的 theta 提升的非消失

在本文中,我们明确确定了酉对偶对 (U(p,q), U(r,s)) 的 theta 提升的非消失。假设局部 Gan-Gross-Prasad 猜想,我们根据局部朗兰兹对应确定何时调和表示的 theta 提升是非零的。
更新日期:2020-03-01
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