Explicit Hilbert spaces for certain unipotent representations II
表示论
2009-10-31 v1
摘要
We construct an explicit realization of a minimal representation of G, where G is the conformal group of a real Jordan algebra N. We characterize spherical vectors for these representation and prove that they are closely related to the Bessel K-function . The resulting construction can be used to study tensor powers of the minimal representation and establish an extension of the Howe duality correspondence to some exceptional groups.
引用
@article{arxiv.math/9904051,
title = {Explicit Hilbert spaces for certain unipotent representations II},
author = {Alexander Dvorsky and Siddhartha Sahi},
journal= {arXiv preprint arXiv:math/9904051},
year = {2009}
}