Mathematics > Representation Theory
[Submitted on 21 Dec 2018 (v1), last revised 14 Nov 2019 (this version, v4)]
Title:Spherical inversion for a small $K$-type on the split real Lie group of type $G_2$
View PDFAbstract:We give an explicit formula for the Harish-Chandra $c$-function for a small $K$-type on a split real Lie group of type $G_2$. As an application we give an explicit formula for spherical inversion for this small $K$-type.
Submission history
From: Nobukazu Shimeno [view email][v1] Fri, 21 Dec 2018 06:10:01 UTC (131 KB)
[v2] Tue, 7 May 2019 02:22:36 UTC (131 KB)
[v3] Wed, 25 Sep 2019 05:41:49 UTC (131 KB)
[v4] Thu, 14 Nov 2019 08:39:05 UTC (132 KB)
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