Lectures in Applied Mathematics 1985; 420 pp; hardcover Volume: 21 ISBN10: 0821811215 ISBN13: 9780821811214 List Price: US$122 Member Price: US$97.60 Order Code: LAM/21
 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  Phasespace 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 KacMoody subalgebras are interesting in physics
 I. B. Frenkel  Representations of KacMoody algebras and dual resonance models
 B. Julia  KacMoody 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
