E-Book, Englisch, Band 111, 571 Seiten, eBook
Dobrev Lie Theory and Its Applications in Physics
2014
ISBN: 978-4-431-55285-7
Verlag: Springer Tokyo
Format: PDF
Kopierschutz: 1 - PDF Watermark
Varna, Bulgaria, June 2013
E-Book, Englisch, Band 111, 571 Seiten, eBook
Reihe: Springer Proceedings in Mathematics & Statistics
ISBN: 978-4-431-55285-7
Verlag: Springer Tokyo
Format: PDF
Kopierschutz: 1 - PDF Watermark
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, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear PDE, special functions, and others. Furthermore, the necessary tools from functional analysis and number theory are included. This is a big interdisciplinary and interrelated field.
Samples of these fresh 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 2013.
This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists and researchers in the field of Lie Theory.
Zielgruppe
Research
