Ring structures for holomorphic discrete series and Rankin-Cohen brackets
Representation Theory
2007-05-23 v1 Number Theory
Abstract
In the present note we discuss two different ring structures on the set of holomorphic discrete series of a causal symmetric space of Cayley type and we suggest a new interpretation of Rankin-Cohen brackets in terms of intertwining operators arising in the decomposition of tensor products of holomorphic discrete series representations.
Cite
@article{arxiv.math/0512096,
title = {Ring structures for holomorphic discrete series and Rankin-Cohen brackets},
author = {Gerrit van Dijk and Michael Pevzner},
journal= {arXiv preprint arXiv:math/0512096},
year = {2007}
}