EAN: 9784431552840

LIE THEORY AND ITS APPLICATIONS IN PHYSICS GEBU...

Traditionally  Lie theory is a tool to build mathematical models for physical systems. Recently
the trend is 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 meant in their
widest sense  i.e.  representation theory  algebraic geometry  infinite-dimensional Lie
algebras and groups  superalgebras and supergroups  groups and quantum groups  noncommutative
geometry  symmetries of linear and nonlinear PDE  special functions  and others. Furthermore 
the necessary tools from functional analysis and number theory are included. This is a big
interdisciplinary and interrelated field. Samples of these fresh trends are presented in this
volume  based on contributions from the Workshop Lie Theory and Its Applications in Physics
held near Varna (Bulgaria) in June 2013. This book is suitable for a broad audience of
mathematicians  mathematical physicists  and theoretical physicists and researchers in the
field of Lie Theory.

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