Double descent in classical groups

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Let A be the ring of adeles of a number field F. Given a self-dual irreducible, automorphic, cuspidal representation τ of GLn(A), with a trivial central character, we construct its full inverse image under the weak Langlands functorial lift from the appropriate split classical group G. We do this by a new automorphic descent method, namely the double descent. This method is derived from the recent generalized doubling integrals of Cai, Friedberg, Ginzburg and Kaplan [CFGK17], which represent the standard L-functions for G×GLn. Our results are valid also for double covers of symplectic groups.

Original languageEnglish
Pages (from-to)1-156
Number of pages156
JournalJournal of Number Theory
StatePublished - Jun 2022


  • Cuspidal automorphic representations
  • Eisenstein series
  • Fourier coefficients
  • Speh representations

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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