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Pregled bibliografske jedinice broj: 748578

On Jacquet modules of representations of segment type


Matić, Ivan; Tadić, Marko
On Jacquet modules of representations of segment type // Manuscripta mathematica, 147 (2015), 3; 437-476 doi:10.1007/s00229-015-0727-9 (međunarodna recenzija, članak, znanstveni)


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Naslov
On Jacquet modules of representations of segment type

Autori
Matić, Ivan ; Tadić, Marko

Izvornik
Manuscripta mathematica (0025-2611) 147 (2015), 3; 437-476

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

Ključne riječi
p-adic division algebras ; cuspidal representations ; square integrable representations ; tempered representations ; irreducibility

Sažetak
A new simple (local) proof of two principal results about irreducible tempered representations of general linear groups over a non-archimedean local division algebra is given in this paper. The first is a proof of the parameterization of the irreducible square integrable representations of these groups by segments of cuspidal representations. The second is a proof of the irreducibility of the tempered parabolic induction. The proofs are based on Jacquet modules (and the Geometric Lemma, incorporated in the structure of a Hopf algebra). Only some very basic general facts of the representation theory of reductive p-adic groups are used in the proofs.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2013-11-9364 - Automorfne forme, reprezentacije i primjene (Automorphic forms) (Muić, Goran, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Marko Tadić (autor)

Avatar Url Ivan Matić (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com link.springer.com

Citiraj ovu publikaciju:

Matić, Ivan; Tadić, Marko
On Jacquet modules of representations of segment type // Manuscripta mathematica, 147 (2015), 3; 437-476 doi:10.1007/s00229-015-0727-9 (međunarodna recenzija, članak, znanstveni)
Matić, I. & Tadić, M. (2015) On Jacquet modules of representations of segment type. Manuscripta mathematica, 147 (3), 437-476 doi:10.1007/s00229-015-0727-9.
@article{article, author = {Mati\'{c}, Ivan and Tadi\'{c}, Marko}, year = {2015}, pages = {437-476}, DOI = {10.1007/s00229-015-0727-9}, keywords = {p-adic division algebras, cuspidal representations, square integrable representations, tempered representations, irreducibility}, journal = {Manuscripta mathematica}, doi = {10.1007/s00229-015-0727-9}, volume = {147}, number = {3}, issn = {0025-2611}, title = {On Jacquet modules of representations of segment type}, keyword = {p-adic division algebras, cuspidal representations, square integrable representations, tempered representations, irreducibility} }
@article{article, author = {Mati\'{c}, Ivan and Tadi\'{c}, Marko}, year = {2015}, pages = {437-476}, DOI = {10.1007/s00229-015-0727-9}, keywords = {p-adic division algebras, cuspidal representations, square integrable representations, tempered representations, irreducibility}, journal = {Manuscripta mathematica}, doi = {10.1007/s00229-015-0727-9}, volume = {147}, number = {3}, issn = {0025-2611}, title = {On Jacquet modules of representations of segment type}, keyword = {p-adic division algebras, cuspidal representations, square integrable representations, tempered representations, irreducibility} }

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


Citati:





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