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arXiv · 1407.6912

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

Do Ngoc Diep·Do Thi Phuong Quynh
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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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Do Ngoc Diep, Do Thi Phuong Quynh. 2014-07-13. Poisson Summation and Endoscopy for $SL(3,\mathbb R)$. https://arxiv.org/abs/1407.6912

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