Ring structures for holomorphic discrete series and Rankin-Cohen brackets

Details Ring structures for holomorphic discrete series and Rankin-Cohen brackets Ring structures for holomorphic discrete series and Rankin-Cohen brackets

2005-12-05

arxiv.org/abs/math/0512096v1

Mathematics

Representation Theory

Scientific paper

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 $G/H$
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.

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