Descent Construction for GSpin Groups

TL;DR

This paper extends the descent theory for GSpin groups to essentially self-dual representations, complementing recent work on functorial lifts from GSpin to GL, thus advancing the understanding of automorphic representations.

Contribution

It introduces a new descent construction for essentially self-dual representations within the GSpin framework, expanding the scope of existing descent theories.

Findings

Extended descent theory to self-dual representations

Connected descent methods with functorial lifts from GSpin to GL

Enhanced understanding of automorphic representation structures

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) GSpin(2n) to GL(2n).