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Group Theoretical Methods in Physics

Proceedings of the XVI International Colloquium Held at Varna, Bulgaria, June 15-20, 1987

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Heinz-D. Doebner
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  2. Jörg-D. Hennig
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  3. Tchavdar D. Palev
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Part of the book series: Lecture Notes in Physics (LNP, volume 313)

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Table of contents (73 papers)

  1. Front Matter

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  2. Horospheres and Twistors

    • S. G. Gindikin
    Pages 1-10

  3. Spectrally ordered Lie algebras

    • J. Hilgert
    Pages 11-16

  4. Algebraic expressions for classes of generalized 6-j and 9-j symbols for certain Lie groups

    • B. R. Judd
    Pages 17-34

  5. Harmonic analysis on coset spaces

    • J. Mickelsson, J. Niederle
    Pages 35-42

  6. The mapping class group: Homology and linearity

    • A. Montorsi, M. Rasetti
    Pages 43-51

  7. Invariantly ordered spectral lie algebras as abstract dynamical systems

    • A. Petrov
    Pages 52-56

  8. Realizations of representations of Kac-Moody groups and bilinear equations for τ-functions

    • G. Post
    Pages 57-64

  9. Recent developments in non linear representations and evolution equations

    • Daniel Sternheimer
    Pages 65-73

  10. New constructions for representations of semisimple lie groups

    • Joseph A. Wolf
    Pages 74-88

  11. Nonrelativistic supersymmetry

    • B. L. Aneva, D. T. Stoyanov
    Pages 89-96

  12. Superfield algebraic structures with Grassmann-valued structure constants

    • J. A. de Azcárraga, J. Luklerski
    Pages 97-103

  13. The non-uniqueness of supertrace

    • N. B. Backhouse, A. G. Fellouris
    Pages 104-108

  14. Cohomological methods in supermanifold theory

    • Claudio Bartocci, Ugo Bruzzo
    Pages 109-115

  15. Superalgebras of symmetries in superquantum mechanics

    • J. Beckers, V. Hussin
    Pages 116-125

  16. Supersymmetric quantum mechanics and critical potentials

    • Luis J. Boya
    Pages 126-141

  17. Constrained lagrangians in N = 2-superspace formulations for the constant magnetic field system

    • D. Dehin
    Pages 142-148

  18. On some graded algebras

    • A. K. Kwaśniewski
    Pages 149-153

  19. Self-consistency and supersymmetry in a many fermion system

    • Arianna Montorsi, Mario Rasetti, Allan I. Solomon
    Pages 154-160

  20. Essentially irreducible representations of the lie superalgebras sl(n/1) and sl(n/2)

    • T. D. Palev
    Pages 161-168
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About this book

The aim of this well-known annual colloquium on group theoretical and geometrical methods in physics is to give an overview of current research. Original contributions along with some review articles cover relevant mathematical developments as well as applications to physical phenomena. The volume contains contributions dealing with concepts from classical group theory, supergroups, superalgebras, infinite dimensional groups, Kac-Moody algebras and related structures. Applications to physics include quantization methods, nuclear physics, crystallography, gauge theory and strings in particle physics. Most of the articles have an introductory or a review section, so the volume will be useful not only for researchers but also for graduate students.

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