Endoscopic character identities for metaplectic groups
Endoscopic character identities for metaplectic groups
Abstract In this paper, we prove the conjectural endoscopic character identities for tempered representations of metaplectic groups <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>Mp</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mn>2</m:mn> <m:mo></m:mo> <m:mi>n</m:mi> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:mrow> </m:math> {\mathrm{Mp}({2n})} based on the formalism of endoscopy theory by J. Adams, D. Renard and W. …