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Pregled bibliografske jedinice broj: 457620

Parabolic induction and Jacquet functors for metaplectic groups

Hanzer, Marcela; Muić, Goran
Parabolic induction and Jacquet functors for metaplectic groups // Journal of algebra, 323 (2010), 1; 241-260 doi:10.1016/j.jalgebra.2009.07.001 (međunarodna recenzija, članak, znanstveni)

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Naslov
Parabolic induction and Jacquet functors for metaplectic groups

Autori
Hanzer, Marcela ; Muić, Goran

Izvornik
Journal of algebra (0021-8693) 323 (2010), 1; 241-260

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

Ključne riječi
p-adic field ; metaplectic group ; parabolic induction ; Jacquet modules ; geometric lemma ; irreducible representations ; Weil representation

Sažetak
In the paper is given a new formulation of geometric lemma for the metaplectic group over p–adic field F, analogous to the existing one for classical groups. This enables the authors to give a Zelevinsky type classification of irreducible, admissible, genuine representations of metaplectic groups. As an application of the Jacquet module technique obtained in the paper, the authors explicitly calculate Jacquet modules of even and odd Weil representations.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
MZOS-037-0372794-2804 - Unitarne reprezentacije klasicnih grupa i automorfne forme (Tadić, Marko, MZOS ) ( CroRIS)

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

Profili:

Avatar Url Goran Muić (autor)

Avatar Url Marcela Hanzer (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com www.sciencedirect.com

Citiraj ovu publikaciju:

Hanzer, Marcela; Muić, Goran
Parabolic induction and Jacquet functors for metaplectic groups // Journal of algebra, 323 (2010), 1; 241-260 doi:10.1016/j.jalgebra.2009.07.001 (međunarodna recenzija, članak, znanstveni)
Hanzer, M. & Muić, G. (2010) Parabolic induction and Jacquet functors for metaplectic groups. Journal of algebra, 323 (1), 241-260 doi:10.1016/j.jalgebra.2009.07.001.
@article{article, author = {Hanzer, Marcela and Mui\'{c}, Goran}, year = {2010}, pages = {241-260}, DOI = {10.1016/j.jalgebra.2009.07.001}, keywords = {p-adic field, metaplectic group, parabolic induction, Jacquet modules, geometric lemma, irreducible representations, Weil representation}, journal = {Journal of algebra}, doi = {10.1016/j.jalgebra.2009.07.001}, volume = {323}, number = {1}, issn = {0021-8693}, title = {Parabolic induction and Jacquet functors for metaplectic groups}, keyword = {p-adic field, metaplectic group, parabolic induction, Jacquet modules, geometric lemma, irreducible representations, Weil representation} }
@article{article, author = {Hanzer, Marcela and Mui\'{c}, Goran}, year = {2010}, pages = {241-260}, DOI = {10.1016/j.jalgebra.2009.07.001}, keywords = {p-adic field, metaplectic group, parabolic induction, Jacquet modules, geometric lemma, irreducible representations, Weil representation}, journal = {Journal of algebra}, doi = {10.1016/j.jalgebra.2009.07.001}, volume = {323}, number = {1}, issn = {0021-8693}, title = {Parabolic induction and Jacquet functors for metaplectic groups}, keyword = {p-adic field, metaplectic group, parabolic induction, Jacquet modules, geometric lemma, irreducible representations, Weil representation} }

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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