Descent Construction for GSpin groups

Source abstract

In this paper we provide an extension of the theory of descent of Ginzburg-Rallis-Soudry to the context of essentially self-dual representations, that is representations which are isomorphic to the twist of their own contragredient by some Hecke character. Our theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) G S p i n 2 n GSpin_{2n} to G L 2 n . GL_{2n}.