Mathematics > Representation Theory
[Submitted on 1 Oct 2014 (v1), last revised 3 Feb 2015 (this version, v3)]
Title:A Global Trace Formula for Reductive Lie Algebras and the Harish-Chandra Transform on the Space of Characteristic Polynomials
View PDFAbstract:In this paper an integral transform between spaces of nonstandard test functions on the affine space of dimension n is constructed. The integral transform satisfies a summation formula of Poisson type, which is derived from an analogue of the Arthur-Selberg trace formula for the Lie algebra of n by n matrices.
Submission history
From: Shuyang Cheng [view email][v1] Wed, 1 Oct 2014 23:37:47 UTC (61 KB)
[v2] Fri, 3 Oct 2014 01:41:30 UTC (61 KB)
[v3] Tue, 3 Feb 2015 21:21:18 UTC (58 KB)
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