Lie Theory and Its Applications in Physics

Varna, Bulgaria, June 2015

  • Vladimir Dobrev
Conference proceedings LT 2015

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 191)

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Ivan Dimitrijevic, Branko Dragovich, Jelena Stankovic, Alexey S. Koshelev, Zoran Rakic
      Pages 35-51
    3. Evgeny Ivanov, Stepan Sidorov
      Pages 67-81
    4. Toshiyuki Kobayashi
      Pages 83-99
    5. Efrat Gerchkovitz, Zohar Komargodski
      Pages 101-110
    6. Mikhail V. Ignatyev, Ivan Penkov, Joseph A. Wolf
      Pages 111-135
  3. String Theories and Gravity Theories

    1. Front Matter
      Pages 231-231
    2. Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva, Michail Stoilov
      Pages 245-259
    3. Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva
      Pages 261-273
    4. Lilia Anguelova
      Pages 285-293
    5. Ovidiu Cristinel Stoica
      Pages 295-302
    6. Denitsa Staicova, Plamen Fiziev
      Pages 303-308
  4. Integrable Systems

  5. Representation Theory

  6. Supersymmetry and Quantum Groups

    1. Front Matter
      Pages 475-475
    2. Sigiswald Barbier, Kevin Coulembier
      Pages 489-499
  7. Vertex Algebras and Lie Algebra Structure Theory

    1. Front Matter
      Pages 511-511
    2. Tomoyuki Arakawa, Hiromichi Yamada, Hiroshi Yamauchi
      Pages 513-521
    3. Anastasia Stavrova
      Pages 531-538
    4. R. M. Navarro
      Pages 551-558
    5. Roy Oste, Joris Van der Jeugt
      Pages 559-564

About these proceedings


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.


17BXX, 20-XX, 22-XX, 43-XX, 16GXX, 16TXX, 81TXX Proceedings Representation Theory Infinite-Dimensional Lie Groups and Algebras Functional Analysis Integrable Systems Algebraic Geometry Number Theory Quantum Groups Superalgebras and Supergroups Symmetries in String Theory Supergravity Conformal Field Theories Nonrelativistic Theories

Editors and affiliations

  • Vladimir Dobrev
    • 1
  1. 1.Institute of Nuclear Research and Nuclear EnergyBulgarian Academy of SciencesSofiaBulgaria

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