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Applications of Group Theory in Physics and Mathematical Physics
Edited by: Moshe Flato, Paul Sally, and Gregg Zuckerman

Lectures in Applied Mathematics
1985; 420 pp; hardcover
Volume: 21
ISBN-10: 0-8218-1121-5
ISBN-13: 978-0-8218-1121-4
List Price: US$122
Member Price: US$97.60
Order Code: LAM/21
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The past decade has seen a renewal in the close ties between mathematics and physics. The Chicago Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, held in July, 1982, was organized to bring together a broad spectrum of scientists from theoretical physics, mathematical physics, and various branches of pure and applied mathematics in order to promote interaction and an exchange of ideas and results in areas of common interest.

This volume contains the papers submitted by speakers at the Seminar. The reader will find several groups of articles varying from the most abstract aspects of mathematics to a concrete phenomenological description of some models applicable to particle physics. The papers have been divided into four categories corresponding to the principal topics covered at the Seminar. This is only a rough division, and some papers overlap two or more of these categories.

Table of Contents

  • Y. Nambu -- Topological excitations in physics
  • I. Bars -- Supergroups and their representations
  • P. G. O. Freund -- Topics in dimensional reduction
  • M. K. Gaillard -- Bound state spectra in extended supergravity theories
  • J. H. Schwarz -- Mathematical issues in superstring theory
  • P. van Nieuwenhuizen -- Gauging of groups and supergroups
  • C. Fronsdal -- Semisimple gauge theories and conformal gravity
  • R. Howe -- Dual pairs in physics: harmonic oscillators, photons, electrons, and singletons
  • A. W. Knapp -- Langlands' classification and unitary dual of SU(2,2)
  • G. W. Mackey -- Quantum mechanics from the point of view of the theory of group representations
  • D. Siernheimer -- Phase-space representations
  • D. A. Vogan, Jr. -- Classifying representations by lowest \(K\)-type
  • J. A. Wolf -- Indefinite harmonic theory and unitary representations
  • G. J. Zuckerman -- Induced representations and quantum fields
  • L. Dolan -- Why Kac-Moody subalgebras are interesting in physics
  • I. B. Frenkel -- Representations of Kac-Moody algebras and dual resonance models
  • B. Julia -- Kac-Moody symmetry of gravitation and supergravity theories
  • J. Lepowsky -- Some constructions of the affine Lie algebra \(A^(1)_1\)
  • J. C. H. Simon -- Nonlinear representations and the affine group of the complex plane
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