Overgroups Of Root Groups In Classical Groups
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Overgroups of Root Groups in Classical Groups
Author: Michael Aschbacher
language: en
Publisher: American Mathematical Soc.
Release Date: 2016-04-26
The author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular he determines the maximal subgroups of this form. He also determines the maximal overgroups of short root subgroups in finite classical groups and the maximal overgroups in finite orthogonal groups of c-root subgroups.
Descent Construction for GSpin Groups
Author: Joseph Hundley
language: en
Publisher: American Mathematical Soc.
Release Date: 2016-09-06
In this paper the authors 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. The authors' theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) GSpin2n to GL2n.