Ring structures for holomorphic discrete series and Rankin-Cohen brackets

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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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Representation Theory, Number Theory, 22E46; 43A85; 11F60

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http://salesiana.dossiersoluciones.com/handle/123456789/106090

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512096
 http://arxiv.org/abs/math/0512096

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arXiv