Cross products, automorphisms, and gradings
Representation Theory
2020-06-19 v1
Abstract
The affine group schemes of automorphisms of the multilinear r-fold cross products on finite-dimensional vectors spaces over fields of characteristic not two are determined. Gradings by abelian groups on these structures, that correspond to morphisms from diagonalizable group schemes into these group schemes of automorphisms, are completely classified, up to isomorphism.
Cite
@article{arxiv.2006.10324,
title = {Cross products, automorphisms, and gradings},
author = {Alberto Daza-García and Alberto Elduque and Liming Tang},
journal= {arXiv preprint arXiv:2006.10324},
year = {2020}
}
Comments
23 pages