Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(2): 627-647

Printed March 31, 2015

https://doi.org/10.4134/BKMS.2015.52.2.627

Copyright © The Korean Mathematical Society.

Covariant maps for the Schr{\"o}dinger-Weil representation

Jae-Hyun Yang

Inha University

Abstract

In this paper, we construct the Schr{\"o}dinger-Weil representation of the Jacobi group associated with a positive definite symmetric real matrix of degree $m$ and find covariant maps for the Schr{\"o}dinger-Weil representation.

Keywords: the Schr{\"o}dinger representation, the Schr{\"o}dinger-Weil representation, covariant maps, Jacobi forms

MSC numbers: Primary 11F27, 11F50

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