Quasi-connected reductive groups
Group Theory
2021-10-12 v2 Algebraic Geometry
Representation Theory
Abstract
We introduce the notion of a quasi-connected reductive group over an arbitrary field to be an almost direct product of a connected semisimple group and a quasi-torus (a smooth group of multiplicative type). We show that a linear algebraic group is quasi-connected reductive if and only if it is isomorphic to a smooth normal subgroup of a connected reductive group.
Cite
@article{arxiv.2108.05694,
title = {Quasi-connected reductive groups},
author = {Mikhail Borovoi and Andrei A. Gornitskii and Zev Rosengarten},
journal= {arXiv preprint arXiv:2108.05694},
year = {2021}
}
Comments
Withdrawn because it is superseded by the version 2 of arXiv:2103.04654 [math.RT] by the same authors