On the intrinsic geometries of polarized complex Grassmannians (Q1909837)

The author denotes by polarization the method of construction of the intrinsic geometries of projective spaces over algebras and adopts this method for complex Grassmannians. He builds the so-called \(M\)-operators which allow to put into correspondence to any complex tensor its real image and, vice versa, to find for any real tensor its complex tensor and Hermitian images [\textit{Eh. G. Nejfel'd}, Tr. Geom. Semin. 19, 71-82 (1989; Zbl 0727.53020)].