The $(g,K)$-module structures of principal series representations of $Sp(3,R)$

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We describe explicitly the whole structures of the $(g,K)$-modules of principal series representations of $Sp(3,R)$. We apply this result to determine the holonomic system characterizing those Whittaker functions.
100 pages

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Representation Theory, Number Theory, 22E46;11F70

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http://salesiana.dossiersoluciones.com/handle/123456789/129720

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.0066
 http://arxiv.org/abs/0706.0066

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arXiv