Applications of Group Theory in Physics and Mathematical Physics (Lectures in Applied Mathematics v. 21)
By: Gregg Zuckerman (editor), M. Flato (editor), Paul Sally (editor)Hardback
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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.
Topological excitations in physics by Y. Nambu Supergroups and their representations by I. Bars Topics in dimensional reduction by P. G. O. Freund Bound state spectra in extended supergravity theories by M. K. Gaillard Mathematical issues in superstring theory by J. H. Schwarz Gauging of groups and supergroups by P. van Nieuwenhuizen Semisimple gauge theories and conformal gravity by C. Fronsdal Dual pairs in physics: harmonic oscillators, photons, electrons, and singletons by R. Howe Langlands' classification and unitary dual of SU(2,2) by A. W. Knapp Quantum mechanics from the point of view of the theory of group representations by G. W. Mackey Phase-space representations by D. Siernheimer Classifying representations by lowest $K$-type by D. A. Vogan, Jr. Indefinite harmonic theory and unitary representations by J. A. Wolf Induced representations and quantum fields by G. J. Zuckerman Why Kac-Moody subalgebras are interesting in physics by L. Dolan Representations of Kac-Moody algebras and dual resonance models by I. B. Frenkel Kac-Moody symmetry of gravitation and supergravity theories by B. Julia Some constructions of the affine Lie algebra $A^(1) 1$ by J. Lepowsky Nonlinear representations and the affine group of the complex plane by J. C. H. Simon.
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- ID: 9780821811214
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