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arXiv:0706.0066 [math.RT]AbstractReferencesReviewsResources

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

Tadashi Miyazaki

Published 2007-06-01Version 1

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.

Comments: 100 pages
Categories: math.RT, math.NT
Subjects: 22E46, 11F70
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