On the geometry of Siegel-Jacobi domains
Differential Geometry
2015-05-20 v1 Representation Theory
Abstract
We study the holomorphic unitary representations of the Jacobi group based on Siegel-Jacobi domains. Explicit polynomial orthonormal bases of the Fock spaces based on the Siegel-Jacobi disk are obtained. The scalar holomorphic discrete series of the Jacobi group for the Siegel-Jacobi disk is constructed and polynomial orthonormal bases of the representation spaces are given.
Keywords
Cite
@article{arxiv.1011.3317,
title = {On the geometry of Siegel-Jacobi domains},
author = {S. Berceanu and A. Gheorghe},
journal= {arXiv preprint arXiv:1011.3317},
year = {2015}
}
Comments
15 pages, Latex, AMS fonts, paper presented at the the International Conference "Differential Geometry and Dynamical Systems", August 25-28, 2010, University Politehnica of Bucharest, Romania