Jacquet–Langlands preservation conjecture for endo-classes
Let G=GLm(D){\rm G}={\rm GL}_m(D)G=GLm(D) and H=GLmd(F){\rm H}={\rm GL}_{md}(F)H=GLmd(F), where DDD is a central division algebra over the non-archimedean local field FFF of reduced degree ddd. Let…