Details

Lie Theory and Its Applications in Physics


Lie Theory and Its Applications in Physics

IX International Workshop
Springer Proceedings in Mathematics & Statistics, Band 36

von: Vladimir Dobrev

149,79 €

Verlag: Springer
Format: PDF
Veröffentl.: 09.04.2013
ISBN/EAN: 9784431542704
Sprache: englisch
Anzahl Seiten: 554

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<p>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.<br>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.<br>This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.</p>
​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
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.<br>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.<br>This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.

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