000			01830nam a22002057a 4500
999			_c39684 _d39684
008			190418b2018 xxu||||| |||| 00| 0 eng d
020			_a9789813236851
082			_a512.2 ISA-A
100			_aIsaev, Alexey P.
245			_aTheory of groups and symmetries : _bfinite groups, life groups and lie algebras / _cAlexey P Isaev and Valery A Rubakov
260			_aUSA _bWorld Scientific _c2018
300			_a458 p.
365			_aUSD _b138.00.
500			_aThe book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence.The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles - the Standard Model - is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics.
650			_aFinite groups
650			_aGroup algebras
650			_aGroup theory
650			_aLie algebras
650			_aLie groups