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Theta lifts of strongly positive discrete series: the case of $(\widetilde{; ; ; Sp(n)}; ; ; , O(V))$ (CROSBI ID 185338)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Matić, Ivan Theta lifts of strongly positive discrete series: the case of $(\widetilde{; ; ; Sp(n)}; ; ; , O(V))$ // Pacific journal of mathematics, 259 (2012), 2; 445-471. doi: 10.2140/pjm.2012.259.445

Podaci o odgovornosti

Matić, Ivan

engleski

Theta lifts of strongly positive discrete series: the case of $(\widetilde{; ; ; Sp(n)}; ; ; , O(V))$

Let $F$ denote a non-archimedean local field of characteristic zero with odd residual characteristic. Using the results of Gan and Savin, in this paper we determine the first occurrence indices and theta lifts of strongly positive discrete series representations of metaplectic groups over $F$ in terms of our recent classification of this class of representations. Also, we determine the first occurrence indices of some strongly positive representations of odd orthogonal groups.

theta correspondence; metaplectic groups; strongly positive representations

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Podaci o izdanju

259 (2)

2012.

445-471

objavljeno

0030-8730

10.2140/pjm.2012.259.445

Povezanost rada

Matematika

Poveznice
Indeksiranost