Poisson Summation and Endoscopy for $SL(3,\mathbb R)$
Quantum Algebra
2016-05-17 v1 Representation Theory
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).
Cite
@article{arxiv.1407.6912,
title = {Poisson Summation and Endoscopy for $SL(3,\mathbb R)$},
author = {Do Ngoc Diep and Do Thi Phuong Quynh},
journal= {arXiv preprint arXiv:1407.6912},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1407.6909