Speciality:
01.01.04 (Geometry and topology)
Keywords: Jordan algebras; Lie algebras and groups; homogeneous symmetric, periodic and parabolic spaces; representations of groups.
Subject:
The classification of real quasisimple associative algebras and quasisimple Jordan algebras is made. The connection of periodic spaces with parabolic spaces and Sabinin trisymmetric spases is investigated. Are determined generalized trisymmetric spaces. Together with V. P. Lexin the vector version of the Matsuo–Cherednik equation for system of roots type $G_2$ is found.
Main publications:
B. A. Rosenfeld, M. P. Zamakhovsky. Homogeneous k-symmetric spaces of interior type with simple real fundamental groups and their connection with parabolic spaces // Beograd, Publications de l'Institut mathematique, 1996, 60(74), 121–136.
