Invariants of $G_2$ and $Spin(7)$ in positive characteristic
Representation Theory
2016-03-14 v2
Abstract
Invariants of and , both acting on several copies of octonions, have been decribed in \cite{schw2} over a ground field of characteristic zero. In the current manuscript, we extend this result to an arbitrary infinite field of odd characteristic. More precisely, we prove that the corresponding algebras of invariants are generated by the same invariants of degree at most as in the case of a field of characteristic zero.
Cite
@article{arxiv.1512.06354,
title = {Invariants of $G_2$ and $Spin(7)$ in positive characteristic},
author = {A. N. Zubkov and I. P. Shestakov},
journal= {arXiv preprint arXiv:1512.06354},
year = {2016}
}
Comments
30 pages