Poisson Summation and Endoscopy for SL(3,\mathbb R)

2014/07/13 by Do Ngoc Diep, Diep, Do Ngoc, Do Thi Phuong Quynh +1
Mathematics · #11F70 #11F72 #22E45 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1407.6912

openalex publication_date 2014/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The group is interesting as the first example of split rank 2 semisimple group, all the irreducible unitary representations of which are known. We make a precise realization of the discrete series representations (in Section 2) by using the Orbit Method and Geometric Quantization, a computation of their traces (Section 3) and an exact formula for the noncommutative Poisson summation and endoscopy of for this group (in Section 4).

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