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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Lie Theory and Its Applications in Physics - Varna, Bulgaria, June 2019 (Paperback, 1st ed. 2020)
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Lie Theory and Its Applications in Physics - Varna, Bulgaria, June 2019 (Paperback, 1st ed. 2020)
Series: Springer Proceedings in Mathematics & Statistics, 335
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 to the workshop "Lie
Theory and Its Applications in Physics" held near Varna (Bulgaria)
in June 2019. 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 large interdisciplinary and interrelated field. The topics
covered in this volume from the workshop represent the most modern
trends in the field : Representation Theory, Symmetries in String
Theories, Symmetries in Gravity Theories, Supergravity, Conformal
Field Theory, Integrable Systems, Polylogarithms, and
Supersymmetry. They also include Supersymmetric Calogero-type
models, Quantum Groups, Deformations, Quantum Computing and Deep
Learning, Entanglement, Applications to Quantum Theory, and
Exceptional Quantum Algebra for the standard model of particle
physics 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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