Maximal antipodal sets of E6 and some compact symmetric spaces

Yuuki Sasaki

doi:10.1016/j.difgeo.2022.101934

Maximal antipodal sets of E6 and some compact symmetric spaces

Yuuki Sasaki

https://doi.org/10.1016/j.difgeo.2022.101934

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Journal: Differential Geometry and its Applications	Publication Date: Aug 12, 2022
Citations: 1

Affiliation: National Institute of Technology, Tokyo College

#Compact Symmetric Spaces #Exceptional Jordan Algebra + Show 7 more

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Abstract

We explicitly classify congruent classes of maximal antipodal sets of E6 and some compact symmetric spaces related to E6. Moreover, we give realizations of these compact symmetric spaces by using some subalgebras of the complex exceptional Jordan algebra JC. In this realization, we explicitly describe congruent classes of maximal antipodal sets of these compact symmetric spaces.

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