Stability of local gamma factors arising from the doubling method for general spin groups

2021/04/25 by Wagh, Siddhesh
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2104.12263

Abstract

In this work we prove that the local γ-factor arising from the doubling integrals for split general spin groups is stable. This deep property of the γ-factor constitutes an important ingredient in the application of the (generalized) doubling method to the construction of a global functorial lift. We obtain our result by adapting the arguments of Rallis and Soudry who proved the stability property for symplectic and orthogonal groups.

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