A Miyawaki type lift for GSpin(2 , 10)

Henry H. Kim, Takuya Yamauchi

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Let T2 (resp. T) be the Hermitian symmetric domain of Spin(2 , 10) (resp. E7 , 3). In previous work (Compos. Math 152(2):223–254, 2016), we constructed holomorphic cusp forms on T from elliptic cusp forms with respect to SL2(Z). By using such cusp forms we construct holomorphic cusp forms on T2 which are similar to Miyawaki lift constructed by Ikeda (Duke Math J 131:469–497, 2006) in the context of symplectic groups. It is conditional on the conjectural Jacquet–Langlands correspondence from PGSO(2 , 10) to PGSO(6 , 6).

Original languageEnglish
Pages (from-to)415-437
Number of pages23
JournalMathematische Zeitschrift
Volume288
Issue number1-2
DOIs
Publication statusPublished - 2018 Feb 1

Keywords

  • Ikeda lift
  • Langlands functoriality
  • Miyawaki type lift
  • Tube domain associated to orthogonal groups

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'A Miyawaki type lift for GSpin(2 , 10)'. Together they form a unique fingerprint.

Cite this