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Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2015

Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2015
Catalogue Information
Field name Details
Dewey Class 530.15
Title Lie Theory and Its Applications in Physics ([EBook]) : Varna, Bulgaria, June 2015 / / edited by Vladimir Dobrev.
Added Personal Name Dobrev, Vladimir editor.
Other name(s) SpringerLink (Online service)
Publication Singapore : : Springer Singapore : : Imprint: Springer, , 2016.
Physical Details XV, 614 p. 29 illus., 17 illus. in color. : online resource.
Series Springer Proceedings in Mathematics & Statistics 2194-1009 ; ; 191
ISBN 9789811026362
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-981-10-2636-2
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