Zobraziť v EDS

A classification of polyharmonic Maaß forms via quiver representations

Uložené v:
Podrobná bibliografia
Názov: A classification of polyharmonic Maaß forms via quiver representations
Autori: Alfes, Claudia, Burban, I., Raum, Martin, 1985
Zdroj: Real-analytiska ortogonala modulära former som genererande serier Journal of Algebra. 661:713-756
Predmety: Kronecker limit formula, Polyharmonic Maaß forms, Mock modular forms, Gelfand quiver, Harish-Chandra modules
Popis: We give a classification of the Harish-Chandra modules generated by the pullback to SL2(R) of polyharmonic Maaß forms for congruence subgroups of SL2(Z) with exponential growth allowed at the cusps. This extends results of Bringmann–Kudla in the harmonic case. While in the harmonic setting there are nine cases, our classification comprises ten; A new case arises in weights k>1. To obtain the classification we introduce quiver representations into the topic and show that those associated with polyharmonic Maaß forms are cyclic, indecomposable representations of the two-cyclic or the Gelfand quiver. A classification of these transfers to a classification of polyharmonic weak Maaß forms. To realize all possible cases of Harish-Chandra modules we develop a theory of weight shifts for Taylor coefficients of vector-valued spectral families. We provide a comprehensive computer implementation of this theory, which allows us to provide explicit examples.
Popis súboru: electronic
Prístupová URL adresa: https://research.chalmers.se/publication/542905
https://research.chalmers.se/publication/542905/file/542905_Fulltext.pdf
Databáza: SwePub
FullText Text:
  Availability: 0
CustomLinks:
  – Url: https://research.chalmers.se/publication/542905#
    Name: EDS - SwePub (s4221598)
    Category: fullText
    Text: View record in SwePub
  – Url: https://resolver.ebscohost.com/openurl?sid=EBSCO:edsswe&genre=article&issn=1090266X&ISBN=&volume=661&issue=&date=20250101&spage=713&pages=713-756&title=Real-analytiska ortogonala modulära former som genererande serier Journal of Algebra&atitle=A%20classification%20of%20polyharmonic%20Maa%C3%9F%20forms%20via%20quiver%20representations&aulast=Alfes%2C%20Claudia&id=DOI:10.1016/j.jalgebra.2024.07.033
    Name: Full Text Finder
    Category: fullText
    Text: Full Text Finder
    Icon: https://imageserver.ebscohost.com/branding/images/FTF.gif
    MouseOverText: Full Text Finder
  – Url: https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=EBSCO&SrcAuth=EBSCO&DestApp=WOS&ServiceName=TransferToWoS&DestLinkType=GeneralSearchSummary&Func=Links&author=Alfes%20C
    Name: ISI
    Category: fullText
    Text: Nájsť tento článok vo Web of Science
    Icon: https://imagesrvr.epnet.com/ls/20docs.gif
    MouseOverText: Nájsť tento článok vo Web of Science
Header DbId: edsswe
DbLabel: SwePub
An: edsswe.oai.research.chalmers.se.99eadd1c.ef45.4b5a.9d24.361067d410af
RelevancyScore: 1115
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 1114.736328125
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: A classification of polyharmonic Maaß forms via quiver representations
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Alfes%2C+Claudia%22">Alfes, Claudia</searchLink><br /><searchLink fieldCode="AR" term="%22Burban%2C+I%2E%22">Burban, I.</searchLink><br /><searchLink fieldCode="AR" term="%22Raum%2C+Martin%22">Raum, Martin</searchLink>, 1985
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <i>Real-analytiska ortogonala modulära former som genererande serier Journal of Algebra</i>. 661:713-756
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Kronecker+limit+formula%22">Kronecker limit formula</searchLink><br /><searchLink fieldCode="DE" term="%22Polyharmonic+Maaß+forms%22">Polyharmonic Maaß forms</searchLink><br /><searchLink fieldCode="DE" term="%22Mock+modular+forms%22">Mock modular forms</searchLink><br /><searchLink fieldCode="DE" term="%22Gelfand+quiver%22">Gelfand quiver</searchLink><br /><searchLink fieldCode="DE" term="%22Harish-Chandra+modules%22">Harish-Chandra modules</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: We give a classification of the Harish-Chandra modules generated by the pullback to SL2(R) of polyharmonic Maaß forms for congruence subgroups of SL2(Z) with exponential growth allowed at the cusps. This extends results of Bringmann–Kudla in the harmonic case. While in the harmonic setting there are nine cases, our classification comprises ten; A new case arises in weights k>1. To obtain the classification we introduce quiver representations into the topic and show that those associated with polyharmonic Maaß forms are cyclic, indecomposable representations of the two-cyclic or the Gelfand quiver. A classification of these transfers to a classification of polyharmonic weak Maaß forms. To realize all possible cases of Harish-Chandra modules we develop a theory of weight shifts for Taylor coefficients of vector-valued spectral families. We provide a comprehensive computer implementation of this theory, which allows us to provide explicit examples.
– Name: Format
  Label: File Description
  Group: SrcInfo
  Data: electronic
– Name: URL
  Label: Access URL
  Group: URL
  Data: <link linkTarget="URL" linkTerm="https://research.chalmers.se/publication/542905" linkWindow="_blank">https://research.chalmers.se/publication/542905</link><br /><link linkTarget="URL" linkTerm="https://research.chalmers.se/publication/542905/file/542905_Fulltext.pdf" linkWindow="_blank">https://research.chalmers.se/publication/542905/file/542905_Fulltext.pdf</link>
PLink https://erproxy.cvtisr.sk/sfx/access?url=https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsswe&AN=edsswe.oai.research.chalmers.se.99eadd1c.ef45.4b5a.9d24.361067d410af
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.jalgebra.2024.07.033
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 44
        StartPage: 713
    Subjects:
      – SubjectFull: Kronecker limit formula
        Type: general
      – SubjectFull: Polyharmonic Maaß forms
        Type: general
      – SubjectFull: Mock modular forms
        Type: general
      – SubjectFull: Gelfand quiver
        Type: general
      – SubjectFull: Harish-Chandra modules
        Type: general
    Titles:
      – TitleFull: A classification of polyharmonic Maaß forms via quiver representations
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Alfes, Claudia
      – PersonEntity:
          Name:
            NameFull: Burban, I.
      – PersonEntity:
          Name:
            NameFull: Raum, Martin
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 1090266X
            – Type: issn-print
              Value: 00218693
            – Type: issn-locals
              Value: SWEPUB_FREE
            – Type: issn-locals
              Value: CTH_SWEPUB
          Numbering:
            – Type: volume
              Value: 661
          Titles:
            – TitleFull: Real-analytiska ortogonala modulära former som genererande serier Journal of Algebra
              Type: main
ResultId 1