Lie Theory and Its Applications in Physics, 1st ed. 2016 Varna, Bulgaria, June 2015 Springer Proceedings in Mathematics & Statistics Series, Vol. 191
Langue : Anglais
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.
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.
Presents a uniquely equal and balanced representation of mathematicians, mathematical physicists, and theoretical physicists Serves as an interface of the scientific interests and methods of these groups of scientist Covers the entire field of Lie Theory in its widest sense, together with its applications in many diverse facets of physics Includes supplementary material: sn.pub/extras
Date de parution : 07-2018
Ouvrage de 614 p.
15.5x23.5 cm
Date de parution : 12-2016
Ouvrage de 614 p.
15.5x23.5 cm
Mots-clés :
17BXX, 20-XX, 22-XX, 43-XX, 16GXX, 16TXX, 81TXX, Proceedings, Representation Theory, Infinite-Dimensional Lie Groups and Algebras, Functional Analysis, Integrable Systems, Algebraic Geometry, Number Theory, Quantum Groups, Superalgebras and Supergroups, Symmetries in String Theory, Supergravity, Conformal Field Theories, Nonrelativistic Theories
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