A Theta Lift for Spin7

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1 Scopus citations


We establish an example of a functorial lift from generic cuspidal representations of a similitude group of the type A1 × C 2 to generic representations of Spin7. Our construction uses the theta correspondence associated to the dual pair of the type (A 1 × C2, B3) inside E7. We also consider another theta correspondence associated to the dual pair of type (A1 × C2, A1 × A1) in D6 and show that these two pairs fit into a tower and the standard properties of a tower of theta correspondences hold.

Original languageEnglish
Pages (from-to)25-59
Number of pages35
JournalCompositio Mathematica
Issue number1
StatePublished - 1 Mar 2003
Externally publishedYes


  • Functorial lifting
  • Minimal representation
  • Theta lifting

ASJC Scopus subject areas

  • Algebra and Number Theory


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