SL(2) over the octonions
Differential Geometry
2018-05-08 v1
Abstract
We interpret an open orbit in a 32-dimensional representation space of Spin(9,1) x SL(2,R) as a substitute for the non-existent group of invertible 2x2 matrices over the octonions and study various natural homogeneous subspaces. The approach is via twistor geometry in eight dimensions.
Keywords
Cite
@article{arxiv.1805.02224,
title = {SL(2) over the octonions},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:1805.02224},
year = {2018}
}
Comments
To appear in Mathematical Proceedings of the Royal Irish Academy