Inversion of an integral transform and ladder representations of U(1,q)
Representation Theory
2016-09-06 v1
Abstract
An integral transform for G=U(1,q) is studied. The transform maps the positive spin ladder representations of G on a Bargmann-Segal-Fock space F_n^1,q into a space of polynomial-valued functions on the bounded realization B^q of G/K. An inversion is given for the transform and unitary structures are given for the geometric realization of the positive spin ladder representations over G/K.
Keywords
Cite
@article{arxiv.math/9506217,
title = {Inversion of an integral transform and ladder representations of U(1,q)},
author = {John D. Lorch and Lisa A. Mantini},
journal= {arXiv preprint arXiv:math/9506217},
year = {2016}
}