Lie Theory and Its Applications in Physics

Varna, Bulgaria, June 2013

  • Vladimir Dobrev
Conference proceedings

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 111)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Plenary Talks

    1. Front Matter
      Pages 1-1
    2. Loriano Bonora, Stefano Giaccari, Bruno Lima De Souza
      Pages 3-12
    3. Lj. Davidović, B. Nikolić, B. Sazdović
      Pages 13-20
    4. Evgeny Ivanov, Stepan Sidorov
      Pages 51-66
    5. Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner
      Pages 67-85
    6. S. Heinemeyer, M. Mondragón, N. Tracas, G. Zoupanos
      Pages 177-196
  3. String Theories and Gravity Theories

    1. Front Matter
      Pages 197-197
    2. Elaine Beltaos
      Pages 223-230
    3. Ivan Dimitrijevic, Branko Dragovich, Jelena Grujic, Zoran Rakic
      Pages 241-250
    4. Branko Dragovich
      Pages 251-262
  4. Integrable Systems

  5. Supersymmetry and Quantum Groups

  6. Conformal Field Theories

    1. Front Matter
      Pages 393-393
    2. M. Kirchbach, A. Pallares Rivera, F. de J. Rosales Aldape
      Pages 395-404
  7. Vertex Algebras and Superalgebras

  8. Representation Theory

    1. Front Matter
      Pages 473-473
    2. Igor Salom
      Pages 505-513
    3. Stoimen Stoimenov, Malte Henkel
      Pages 527-537
  9. Various Mathematical Results

    1. Front Matter
      Pages 539-539
    2. Alon E. Faraggi
      Pages 541-549

About these proceedings


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.


(Super-)Gravity Theories Conformal Field Theory Quantum Field Theory Representation Theory String Theory Supersymmetry

Editors and affiliations

  • Vladimir Dobrev
    • 1
  1. 1.Bulgarian Academy of SciencesInstitute for Nuclear Research and Nuclear EnergySofiaBulgaria

Bibliographic information