New books on physics and related sciences

Abstract

The propositions and results of the theory of groups and symmetries that can be widely applied in theoretical and mathematical physics are presented extensively. Both the algebraic group theory and the theory of Lie group and algebra representations are discussed. Particular attention is paid to Lie compact groups and algebras, as well as conformal groups and algebras in spaces of different dimensions. The classification of semisimple finite-dimensional Lie algebras is briefly discussed. Yangians related to simple Lie algebras of classical series are defined. The basic principles of differential geometry of homogeneous spaces are presented. The book is intended for research workers, postgraduates, and senior students engaged in theoretical and mathematical physics. This book presents the results of studies in a new scientific area — carbon photonics. The subjects of the study are synthetic (so-called new carbon) materials: CVD-diamond, single-walled carbon nanotubes, and graphene. The technol-ogies of their plasma-chemical synthesis are analyzed, as are the thermal and optical properties, the methods of