Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya: Mathematics, 2016, Volume 80, Issue 4, Pages 678–692
DOI: https://doi.org/10.1070/IM8431 (Mi im8431) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the Langlands correspondence for symplectic motives

B. H. Gross

Department of Mathematics, Harvard University
English version PDF (285 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM8431
Abstract: We present a refinement of the global Langlands correspondence for symplectic motives. Using the local theory of generic representations of odd orthogonal groups, we define a new vector in the associated automorphic representation, which is the tensor product of test vectors for the Whittaker functionals.
Keywords: symplectic motive, generic representation, Langlands correspondence.
Received: 16.07.2015
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2016, Volume 80, Issue 4, Pages 49–64
DOI: https://doi.org/10.4213/im8431
Bibliographic databases:
Document Type: Article
UDC: 512.743.7
MSC: 11F70, 14D24, 20H05, 22E55
Language: English
Original paper language: Russian
Citation: B. H. Gross, “On the Langlands correspondence for symplectic motives”, Izv. RAN. Ser. Mat., 80:4 (2016), 49–64; Izv. Math., 80:4 (2016), 678–692
Citation in format AMSBIB
\Bibitem{Gro16}
\by B.~H.~Gross
\paper On the Langlands correspondence for symplectic motives
\jour Izv. RAN. Ser. Mat.
\yr 2016
\vol 80
\issue 4
\pages 49--64
\mathnet{http://mi.mathnet.ru/im8431}
\crossref{https://doi.org/10.4213/im8431}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3535358}
\zmath{https://zbmath.org/?q=an:06640627}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016IzMat..80..678G}
\elib{https://elibrary.ru/item.asp?id=26414237}
\transl
\jour Izv. Math.
\yr 2016
\vol 80
\issue 4
\pages 678--692
\crossref{https://doi.org/10.1070/IM8431}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000384882700004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84987630475}
Linking options:
  • https://www.mathnet.ru/eng/im8431
  • https://doi.org/10.1070/IM8431
  • https://www.mathnet.ru/eng/im/v80/i4/p49
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:412
    Russian version PDF:71
    English version PDF:14
    References:66
    First page:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024