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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 G2G_2 and F4F_4 respectively are easily explained from the octonionic nature of these groups. The 4+3+2 cases on the E6,7,8E_{6,7,8} series require the magic square of Freudenthal and, for the split case, an appeal to the supergravity chain in 5,45, 4 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)

R2 v1 2026-06-21T11:38:07.663Z