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Pregled bibliografske jedinice broj: 502086

Strongly positive representations of metaplectic groups

Matić, Ivan
Strongly positive representations of metaplectic groups // Journal of algebra, 334 (2011), 1; 255-274 doi:10.1016/j.algebra.2011.02.015 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 502086 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Strongly positive representations of metaplectic groups

Autori
Matić, Ivan

Izvornik
Journal of algebra (0021-8693) 334 (2011), 1; 255-274

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

Ključne riječi
metaplectic groups; p-adic groups; discrete series

Sažetak
In this paper, we obtain a classification of irreducible strongly positive square-integrable genuine representations of metaplectic groups over p-adic fields, using a purely algebraic approach. Our results parallel those of Moeglin and Tadić for classical groups, but their work relies on certain conjectures. On the other hand, our results are complete and there are no additional conditions or hypothesis. The important point to note here is that our results and techniques can be used in the case of classical p-adic groups in a completely analogous manner.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

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

Ustanove:
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Ivan Matić (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Matić, Ivan
Strongly positive representations of metaplectic groups // Journal of algebra, 334 (2011), 1; 255-274 doi:10.1016/j.algebra.2011.02.015 (međunarodna recenzija, članak, znanstveni)
Matić, I. (2011) Strongly positive representations of metaplectic groups. Journal of algebra, 334 (1), 255-274 doi:10.1016/j.algebra.2011.02.015.
@article{article, author = {Mati\'{c}, Ivan}, year = {2011}, pages = {255-274}, DOI = {10.1016/j.algebra.2011.02.015}, keywords = {metaplectic groups, p-adic groups, discrete series}, journal = {Journal of algebra}, doi = {10.1016/j.algebra.2011.02.015}, volume = {334}, number = {1}, issn = {0021-8693}, title = {Strongly positive representations of metaplectic groups}, keyword = {metaplectic groups, p-adic groups, discrete series} }
@article{article, author = {Mati\'{c}, Ivan}, year = {2011}, pages = {255-274}, DOI = {10.1016/j.algebra.2011.02.015}, keywords = {metaplectic groups, p-adic groups, discrete series}, journal = {Journal of algebra}, doi = {10.1016/j.algebra.2011.02.015}, volume = {334}, number = {1}, issn = {0021-8693}, title = {Strongly positive representations of metaplectic groups}, keyword = {metaplectic groups, p-adic groups, discrete series} }

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

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