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arXiv · 0706.0066

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

Tadashi Miyazaki
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Abstract

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.

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Tadashi Miyazaki. 2007-06-01. The $(g,K)$-module structures of principal series representations of $Sp(3,R)$. https://arxiv.org/abs/0706.0066

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