Lie Theory and Its Applications in Physics

IX International Workshop

Buch | Hardcover

554 Seiten

2013
Springer Verlag, Japan
978-4-431-54269-8 (ISBN)

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Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation 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. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantum groups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field.
Samples of these new 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 2011.
This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.

Preface1. Plenary Talks2. Quantum Field Theory3. String and Gravity Theories4. Quantum Groups and Related Objects5. Representation Theory6. Vertex Algebras7. Integrability and Other Applications8. Various Mathematical Results

Reihe/Serie	Springer Proceedings in Mathematics & Statistics ; 36
Zusatzinfo	XIV, 554 p.
Verlagsort	Tokyo
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebra
ISBN-10	4-431-54269-8 / 4431542698
ISBN-13	978-4-431-54269-8 / 9784431542698
Zustand	Neuware