Some vector-valued singular automorphic forms on U(2, 2) and their restriction to Sp(1, 1)

Atsuo Yamauchi, Hiro Aki Narita

研究成果: Article査読

抄録

In this paper we provide a construction of theta series on the real symplectic group of signature (1,1) or the 4-dimensional hyperbolic space. We obtain these by considering the restriction of some vector-valued singular theta series on the unitary group of signature (2,2) to this indefinite symplectic group. Our (vector-valued) theta series are proved to have algebraic Fourier coefficients, and lead to a new explicit construction of automorphic forms generating quaternionic discrete series representations and automorphic functions on the hyperbolic space.

本文言語English
論文番号1250104
ジャーナルInternational Journal of Mathematics
23
10
DOI
出版ステータスPublished - 2012 10
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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