Faculty Publications

Theta Series Liftings From Orthogonal Groups To Semi-Simple Groups

Document Type

Article

Journal/Book/Conference Title

Journal of the Australian Mathematical Society

Volume

69

Issue

1

First Page

127

Last Page

142

Abstract

We study a correspondence between automorphic forms on an orthogonal group and automorphic forms on a semi-simple Lie group associated to an equivariant holomorphic map of a symmetric domain into a Siegel upper half space. We construct an automorphic form on the symmetric domain that corresponds to an automorphic form on an orthogonal group using theta series, and prove that such a correspondence is compatible with the appropriate Hecke operator actions on the corresponding automorphic forms. As an example, we describe the case of spin groups.

Department

Department of Mathematics

Original Publication Date

1-1-2000

DOI of published version

10.1017/s1446788700001877

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