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Lie Theory and Its Applications in Physics - Sofia, Bulgaria, June 2021 (Hardcover, 1st ed. 2022)
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Lie Theory and Its Applications in Physics - Sofia, Bulgaria, June 2021 (Hardcover, 1st ed. 2022)
Series: Springer Proceedings in Mathematics & Statistics, 396
Expected to ship within 12 - 17 working days
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This volume presents modern trends in the area of symmetries and
their applications based on contributions to the Workshop "Lie
Theory and Its Applications in Physics" held in Sofia, Bulgaria
(on-line) in June 2021. 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, 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, special functions, and others. Furthermore,
the necessary tools from functional analysis are included. This is
a big interdisciplinary and interrelated field. The topics covered
in this Volume are the most modern trends in the field of the
Workshop: Representation Theory, Symmetries in String Theories,
Symmetries in Gravity Theories, Supergravity, Conformal Field
Theory, Integrable Systems, Quantum Computing and Deep Learning,
Entanglement, Applications to Quantum Theory, Exceptional quantum
algebra for the standard model of particle physics, Gauge Theories
and Applications, Structures on Lie Groups and Lie Algebras. This
book is suitable for a broad audience of mathematicians,
mathematical physicists, and theoretical physicists, including
researchers and graduate students interested in Lie Theory.
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