Lie Theory and Its Applications in Physics

Varna, Bulgaria, June 2015

Buch | Softcover

614 Seiten

2018 | Softcover reprint of the original 1st ed. 2016
Springer Verlag, Singapore
978-981-10-9673-0 (ISBN)

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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.

Part 1: Plenary Talks.- Part 2: String Theories and Gravity Theories.- Part 3: Integrable Systems.- Part 4: Representation Theory.- Part 5: Supersymmetry and Quantum Groups.- Part 6: Vertex Algebras and Lie Algebra Structure Theory.- Part 7: Various Mathematical Results.

Erscheinungsdatum	18.08.2018
Reihe/Serie	Springer Proceedings in Mathematics & Statistics ; 191
Zusatzinfo	17 Illustrations, color; 12 Illustrations, black and white; XV, 614 p. 29 illus., 17 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
ISBN-10	981-10-9673-2 / 9811096732
ISBN-13	978-981-10-9673-0 / 9789811096730
Zustand	Neuware