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＜E-Book＞
Lie Theory and Its Applications in Physics : Varna, Bulgaria, June 2015 / edited by Vladimir Dobrev
(Springer Proceedings in Mathematics & Statistics. ISSN:21941017 ; 191)

Edition	1st ed. 2016.
Publisher	(Singapore : Springer Nature Singapore : Imprint: Springer)
Year	2016
Size	XV, 614 p. 29 illus., 17 illus. in color : online resource
Authors	Dobrev, Vladimir editor SpringerLink (Online service)
Subjects	LCSH:Mathematical physics LCSH:Functional analysis LCSH:Topological groups LCSH:Lie groups LCSH:Elementary particles (Physics) LCSH:Quantum field theory LCSH:Algebraic geometry LCSH:Number theory FREE:Mathematical Physics FREE:Functional Analysis FREE:Topological Groups and Lie Groups FREE:Elementary Particles, Quantum Field Theory FREE:Algebraic Geometry FREE:Number Theory
Notes	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 HTTP:URL=https://doi.org/10.1007/978-981-10-2636-2

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