TY - BOOK ID - 705523 TI - Lie Theory and Its Applications in Physics : Varna, Bulgaria, June 2013 AU - Dobrev, V. K. AU - Dobrev, Vladimir. PY - 2014 SN - 4431552855 4431552847 PB - Tokyo : Springer Japan : Imprint: Springer, DB - UniCat KW - Mathematics. KW - Topological groups. KW - Lie groups. KW - Geometry. KW - Mathematical physics. KW - Mathematical Physics. KW - Topological Groups, Lie Groups. KW - Physical mathematics KW - Physics KW - Mathematics KW - Euclid's Elements KW - Groups, Lie KW - Lie algebras KW - Symmetric spaces KW - Topological groups KW - Groups, Topological KW - Continuous groups KW - Math KW - Science KW - Mathematical physics KW - Geometry KW - Topological Groups. UR - https://www.unicat.be/uniCat?func=search&query=sysid:705523 AB - Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear PDE, special functions, and others. Furthermore, the necessary tools from functional analysis and number theory are included. This is a big interdisciplinary and interrelated field. Samples of these fresh trends are presented in this volume, based on contributions from the Workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2013. This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists and researchers in the field of Lie Theory. ER -