BIBCYT Titulo: Alejandría BE 7.0.7b0

Título: =Some local-global non-vanishing results for theta lifts from orthogonal groups

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Autor:	Takeda , Shuichiro
Título:	Some local-global non-vanishing results for theta lifts from orthogonal groups
Páginas/Colación:	pp. 5575-5599.
Fecha:	October 2009

Transactions of the American Mathematical Society Vol. 361, no.10 October 2009

Información de existencia

Palabras Claves:

AUTOMORPHIC REPRESENTATION,

THETA CORRESPONDENCE

Resumen
We, first, improve a theorem of B

We, first, improve a theorem of B. Roberts which characterizes non-vanishing of a global theta lift from $\operatorname{O}(X)$ to $\operatorname{Sp}(n)$ in terms of non-vanishing of local theta lifts. In particular, we will remove all the Archimedean conditions imposed upon his theorem. Secondly, following Roberts, we will apply our theorem to theta lifting of low rank similitude groups. Namely we characterize the non-vanishing condition of a global theta lift from $\operatorname{GO}(4)$ to $\operatorname{GSp}(2)$ in our improved setting. Also we consider non-vanishing conditions of a global theta lift from $\operatorname{GO}(4)$ to $\operatorname{GSp}(1)$ and explicitly compute the lift when it exists.

UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno

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