Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra
Group Theory
2020-04-20 v1
Abstract
We show that any adjoint absolutely simple linear algebraic group over a field of characteristic zero is the automorphism group of some projector on a central simple algebra. Projective homogeneous varieties can be described in these terms; in particular, we reproduce quadratic equations by Lichtenstein defining them.
Cite
@article{arxiv.2004.08191,
title = {Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra},
author = {Viktor Petrov and Andrei Semenov},
journal= {arXiv preprint arXiv:2004.08191},
year = {2020}
}