04511nam 22007695 450 991015553350332120200706200957.0981-10-2636-X10.1007/978-981-10-2636-2(CKB)3710000000975072(DE-He213)978-981-10-2636-2(MiAaPQ)EBC4768862(PPN)197456480(EXLCZ)99371000000097507220161210d2016 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierLie Theory and Its Applications in Physics Varna, Bulgaria, June 2015 /edited by Vladimir Dobrev1st ed. 2016.Singapore :Springer Singapore :Imprint: Springer,2016.1 online resource (XV, 614 p. 29 illus., 17 illus. in color.) Springer Proceedings in Mathematics & Statistics,2194-1009 ;191981-10-2635-1 Includes bibliographical references at the end of each chapters.Part 1: Plenary Talks -- Part 2: String Theories and Gravity Theories -- Part 3: Integrable Systems -- Part 4: Representation Theory -- Part 5: Supersymmetry and Quantum Groups -- Part 6: Vertex Algebras and Lie Algebra Structure Theory -- Part 7: Various Mathematical Results.This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend has been 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 employed in their widest sense, embracing representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators (PDO), special functions, and others. Furthermore, the necessary tools from functional analysis are included.< This is a large interdisciplinary and interrelated field, and the present volume is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.Springer Proceedings in Mathematics & Statistics,2194-1009 ;191Mathematical physicsFunctional analysisTopological groupsLie groupsElementary particles (Physics)Quantum field theoryAlgebraic geometryNumber theoryMathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Topological Groups, Lie Groupshttps://scigraph.springernature.com/ontologies/product-market-codes/M11132Elementary Particles, Quantum Field Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P23029Algebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Number Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Mathematical physics.Functional analysis.Topological groups.Lie groups.Elementary particles (Physics).Quantum field theory.Algebraic geometry.Number theory.Mathematical Physics.Functional Analysis.Topological Groups, Lie Groups.Elementary Particles, Quantum Field Theory.Algebraic Geometry.Number Theory.530Dobrev Vladimiredthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910155533503321Lie theory and its applications in physics1410030UNINA