A Theta Lift for Spin7

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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
Volume136
Issue number1
DOIs
StatePublished - 1 Mar 2003
Externally publishedYes

Keywords

  • Functorial lifting
  • Minimal representation
  • Theta lifting

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint

Dive into the research topics of 'A Theta Lift for Spin7'. Together they form a unique fingerprint.

Cite this