Abstract
We give computational systems of polynomial representations of the composition maps of non-flat totally geodesic surfaces of the symmetric spaces of type A which are obtained by K. Mashimo, and the Cartan imbeddings of symmetric spaces of type A to $SU(n)$. We obtain the relationships among the non-flat totally geodesic surfaces in symmetric spaces of types AI, AII and AIII by this methods.
Citation
Hideya Hashimoto. Misa Ohashi. Kazuhiro Suzuki. "Relationships among non-flat totally geodesic surfaces in symmetric spaces of type A and their polynomial representations." Kodai Math. J. 42 (2) 203 - 222, June 2019. https://doi.org/10.2996/kmj/1562032828