Comparison of the Sally-Shalika character formulas with the endoscopic character identities for ${\mathrm{SL}}_2$

Anne-Marie Aubert, Roger Plymen

We consider the depth-zero supercuspidal $L$-packets of ${\mathrm{SL}}_2(F)$ where $F$ is a non-archimedean local field of characteristic zero. We compare the explicit endoscopic cha…