Traditionally, Lie conception is a device to construct mathematical versions for actual platforms. lately, the fashion is in the direction of geometrization of the mathematical description of actual structures and items. a geometrical method of a method yields commonly a few thought of symmetry that is very precious in realizing its constitution. Geometrization and symmetries are intended of their widest experience, i.e., illustration concept, algebraic geometry, infinite-dimensional Lie algebras and teams, superalgebras and supergroups, teams and quantum teams, noncommutative geometry, symmetries of linear and nonlinear PDE, targeted services, and others. moreover, the required instruments from practical research and quantity idea are integrated. it is a great interdisciplinary and interrelated field.
Samples of those clean traits are offered during this quantity, in keeping with contributions from the Workshop "Lie concept and Its functions in Physics" held close to Varna (Bulgaria) in June 2013.
This ebook is acceptable for a extensive viewers of mathematicians, mathematical physicists, and theoretical physicists and researchers within the box of Lie Theory.
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