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Lie Theory and Its Applications in Physics - Varna, Bulgaria, June 2015 (Hardcover, 1st ed. 2016)
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Lie Theory and Its Applications in Physics - Varna, Bulgaria, June 2015 (Hardcover, 1st ed. 2016)
Series: Springer Proceedings in Mathematics & Statistics, 191
Expected to ship within 10 - 15 working days
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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.
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