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Pregled bibliografske jedinice broj: 1099064

Generic representations of metaplectic groups and their theta lifts

Bakić, Petar; Hanzer, Marcela
Generic representations of metaplectic groups and their theta lifts // Mathematische Zeitschrift, 297 (2021), 1421-1465 doi:10.1007/s00209-020-02563-z (međunarodna recenzija, članak, znanstveni)

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Naslov
Generic representations of metaplectic groups and their theta lifts

Autori
Bakić, Petar ; Hanzer, Marcela

Izvornik
Mathematische Zeitschrift (0025-5874) 297 (2021); 1421-1465

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
metaplectic p–adic groups ; generic representations ; standard module conjecture ; theta correspondence

Sažetak
In this paper we give the description of generic representations of metaplectic groups over p-adic fields in terms of their Langlands parameters and calculate their theta lifts on all levels for any tower of odd orthogonal groups. We also describe precisely all the occurrences of the failure of the standard module conjecture for metaplectic groups.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2018-01-3628 - Unitarne reprezentacije, automorfne i modularne forme (UNAM) (Hanzer, Marcela, HRZZ - 2018-01) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Marcela Hanzer (autor)

Avatar Url Petar Bakić (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com link.springer.com doi.org

Citiraj ovu publikaciju:

Bakić, Petar; Hanzer, Marcela
Generic representations of metaplectic groups and their theta lifts // Mathematische Zeitschrift, 297 (2021), 1421-1465 doi:10.1007/s00209-020-02563-z (međunarodna recenzija, članak, znanstveni)
Bakić, P. & Hanzer, M. (2021) Generic representations of metaplectic groups and their theta lifts. Mathematische Zeitschrift, 297, 1421-1465 doi:10.1007/s00209-020-02563-z.
@article{article, author = {Baki\'{c}, Petar and Hanzer, Marcela}, year = {2021}, pages = {1421-1465}, DOI = {10.1007/s00209-020-02563-z}, keywords = {metaplectic p–adic groups, generic representations, standard module conjecture, theta correspondence}, journal = {Mathematische Zeitschrift}, doi = {10.1007/s00209-020-02563-z}, volume = {297}, issn = {0025-5874}, title = {Generic representations of metaplectic groups and their theta lifts}, keyword = {metaplectic p–adic groups, generic representations, standard module conjecture, theta correspondence} }
@article{article, author = {Baki\'{c}, Petar and Hanzer, Marcela}, year = {2021}, pages = {1421-1465}, DOI = {10.1007/s00209-020-02563-z}, keywords = {metaplectic p–adic groups, generic representations, standard module conjecture, theta correspondence}, journal = {Mathematische Zeitschrift}, doi = {10.1007/s00209-020-02563-z}, volume = {297}, issn = {0025-5874}, title = {Generic representations of metaplectic groups and their theta lifts}, keyword = {metaplectic p–adic groups, generic representations, standard module conjecture, theta correspondence} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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