The local Ginzburg–Rallis model for generic representations

Abstract

We consider the local Ginzburg–Rallis model for generic representations. We prove that the summation of the multiplicities is always equal to 1 over every generic L-packet for the p-adic case and real case. This is a sequel work of [Wan15], [Wan16a] and [Wan16b] in which we considered the p-adic case and the real case for tempered representations, and considered the complex case for generic representations.