A Global Trace Formula for Reductive Lie Algebras and the Harish-Chandra Transform on the Space of Characteristic Polynomials

2014/10/01 by Shuyang Cheng, Cheng, Shuyang
Mathematics · #43A32 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:43A32

paper · pdf · doi:10.48550/arxiv.1410.0415

removed an error from an earlier version

openalex publication_date 2014/10/01 · arxiv created 2015/02/03 · arxiv updated 2015/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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