POISSON SUMMATION AND ENDOSCOPY FOR SU(2,1)

Do Ngoc Diep; Do Thi Phuong Quynh

Do Ngoc Diep
Do Thi Phuong Quynh

Keywords: discrete series representation; Poisson summation; trace formula; endoscopy

Abstract

In this paper we analyze the endoscopy for SU(2,1). We make a precise realization of the discrete series representations (following the work [Li] in Section 2), a computation of their traces (Section 3) and an exact formula for the Poisson summation and endoscopy for this group (in Section 4).