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Lie Theory and Its Applications in Physics

IX International Workshop

  • Vladimir Dobrev

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 36)

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Loriano Bonora
      Pages 3-12
    3. Branko Dragovich
      Pages 13-24
    4. David Ritz Finkelstein
      Pages 25-38
    5. Jean-Louis Loday
      Pages 95-107
    6. Christoph Neumann, Karl-Henning Rehren, Lena Wallenhorst
      Pages 109-125
    7. Nikolay M. Nikolov, Raymond Stora, Ivan Todorov
      Pages 127-147
  3. Quantum Field Theory

    1. Front Matter
      Pages 167-167
    2. Jean-Louis Loday, Nikolay M. Nikolov
      Pages 191-211
  4. String and Gravity Theories

    1. Front Matter
      Pages 213-213
    2. Eduardo Guendelman, Alexander Kaganovich, Emil Nissimov, Svetlana Pacheva
      Pages 215-230
    3. Ivan Dimitrijevic, Branko Dragovich, Jelena Grujic, Zoran Rakic
      Pages 251-259
  5. Quantum Groups and Related Objects

  6. Representation Theory

  7. Vertex Algebras

    1. Front Matter
      Pages 389-389
    2. Tomoyuki Arakawa, Ching Hung Lam, Hiromichi Yamada
      Pages 391-398
  8. Integrability and Other Applications

  9. Various Mathematical Results

    1. Front Matter
      Pages 485-485
    2. Elena Poletaeva, Vera Serganova
      Pages 487-497
    3. Michel Dubois-Violette, Todor Popov
      Pages 499-509
    4. Elaine Beltaos
      Pages 511-519
    5. Isar Goyvaerts, Joost Vercruysse
      Pages 541-550

About these proceedings

Introduction

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.
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.
This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.

Keywords

(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 SciencesSofiaBulgaria

Bibliographic information

  • DOI https://doi.org/10.1007/978-4-431-54270-4
  • Copyright Information Springer Japan 2013
  • Publisher Name Springer, Tokyo
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-4-431-54269-8
  • Online ISBN 978-4-431-54270-4
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • Buy this book on publisher's site