Symmetric Spaces of Exceptional Groups
Mathematical Physics
2008-11-05 v1 math.MP
Abstract
We adress the problem of the reasons for the existence of 12 symmetric spaces with the exceptional Lie groups. The 1+2 cases for and respectively are easily explained from the octonionic nature of these groups. The 4+3+2 cases on the series require the magic square of Freudenthal and, for the split case, an appeal to the supergravity chain in and 3 spacetime dimensions.
Cite
@article{arxiv.0811.0554,
title = {Symmetric Spaces of Exceptional Groups},
author = {Luis J. Boya},
journal= {arXiv preprint arXiv:0811.0554},
year = {2008}
}
Comments
Presented at the 27th ICGTMP (2008), Yerevan (Armenia)