Irreducibility criteria for local and global representations

Hiroaki Narita, Ameya Pitale, Ralf Schmidt

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

It is proved that certain types of modular cusp forms generate irreducible automorphic representations of the underlying algebraic group. Analogous Archimedean and non-Archimedean local statements are also given.

Original languageEnglish
Pages (from-to)55-63
Number of pages9
JournalProceedings of the American Mathematical Society
Volume141
Issue number1
DOIs
Publication statusPublished - 2012 Nov 5
Externally publishedYes

Fingerprint

Automorphic Representations
Cusp Form
Irreducibility
Modular Forms
Algebraic Groups

Keywords

  • Automorphic representation
  • Hecke eigenvector
  • Representation over local fields

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Irreducibility criteria for local and global representations. / Narita, Hiroaki; Pitale, Ameya; Schmidt, Ralf.

In: Proceedings of the American Mathematical Society, Vol. 141, No. 1, 05.11.2012, p. 55-63.

Research output: Contribution to journalArticle

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