Pregled bibliografske jedinice broj: 588092
Theta lifts of strongly positive discrete series: the case of $(\widetilde{; ; ; Sp(n)}; ; ; , O(V))$
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 (međunarodna recenzija, članak, znanstveni)
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Naslov
Theta lifts of strongly positive discrete series: the case of $(\widetilde{; ; ; Sp(n)}; ; ; , O(V))$
Autori
Matić, Ivan
Izvornik
Pacific journal of mathematics (0030-8730) 259
(2012), 2;
445-471
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
theta correspondence; metaplectic groups; strongly positive representations
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372794-2804 - Unitarne reprezentacije klasicnih grupa i automorfne forme (Tadić, Marko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku
Profili:
Ivan Matić
(autor)
