Lie Theory and Its Applications in Physics

Varna, Bulgaria, June 2015
1. Auflage 2016
ISBN: 978-981-10-2635-5
Verlag: Springer Nature Singapore

Buch, Englisch, Band 191, 614 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 10638 g

Reihe: Springer Proceedings in Mathematics & Statistics

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.This is a large interdisciplinary and interrelated field, and the present volume is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.

Zielgruppe

Research

Autoren/Hrsg.

Dobrev, Vladimir

Fachgebiete

• Naturwissenschaften Physik Quantenphysik Teilchenphysik
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

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.