Theory of groups and symmetries: Finite groups. Lie groups and algebras

An expanded presentation of the provisions and results of the theory of groups and symmetries that have wide applications in theoretical and mathematical physics is given. Both the algebraic theory of groups, and the theory of representations of groups and algebris Lee are discussed. Particular attention is paid to compact groups and algebram Lee, as well as conformal groups and algebram in spaces of various dimensions. The classification of semi -span finally algebrus Li is briefly considered. The definition of the Yangians associated with simple algebras of the classic series is given. The foundations of differential geometry of homogeneous spaces are presented.
For scientists, graduate students, senior students specializing in the field of theoretical and mathematical physics