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Symmetry in Physics: In Memory of Robert T. Sharp
Edited by: P. Winternitz, University of Montreal, QC, Canada, J. Harnad, Concordia University, Montreal, QC, Canada, C. S. Lam, McGill University, Montreal, QC, Canada, and J. Patera, University of Montreal, QC, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques.
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CRM Proceedings & Lecture Notes
2004; 227 pp; softcover
Volume: 34
ISBN-10: 0-8218-3409-6
ISBN-13: 978-0-8218-3409-1
List Price: US$87
Member Price: US$69.60
Order Code: CRMP/34
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Papers in this volume are based on the Workshop on Symmetries in Physics held at the Centre de recherches mathématiques (University of Montreal) in memory of Robert T. Sharp. Contributed articles are on a variety of topics revolving around the theme of symmetry in physics.

The preface presents a biographical and scientific retrospect of the life and work of Robert Sharp. Other articles in the volume represent his diverse range of interests, including representation theoretic methods for Lie algebras, quantization techniques and foundational considerations, modular group invariants and applications to conformal models, various physical models and equations, geometric calculations with symmetries, and pedagogical methods for developing spatio-temporal intuition.

The book is suitable for graduate students and researchers interested in group theoretic methods, symmetries, and mathematical physics.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

Readership

Graduate students and research mathematicians interested in applications of group theory in physics.

Table of Contents

  • S. C. Anco and J. Pohjanpelto -- Symmetries and currents of massless neutrino fields, electromagnetic and graviton fields
  • C. P. Burgess -- Naturalness and quintessence
  • C. J. Cummins and S. Pauli -- Congruence subgroups of PSL(2,\(\mathbb{Z}\))
  • H. de Guise, D. J. Rowe, and B. C. Sanders -- Asymptotic SU(2) and SU(3) Wigner functions from the weight diagram
  • M. de Montigny, F. C. Khanna, and A. E. Santana -- Physical applications of a five-dimensional metric formulation of Galilean invariance
  • T. Gannon -- Variations on Dedekind's eta
  • J.-P. Gazeau, T. Garidi, E. Huguet, M. Lachièze-Rey, and J. Renaud -- Examples of Berezin-Toeplitz quantization: Finite sets and unit interval
  • A. M. Grundland and W. J. Zakrzewski -- A modified Weierstrass representation for CMC-surfaces in multi-dimensional Euclidean spaces
  • Č. Burdík and M. Havlíček -- Boson realizations of semi-simple Lie algebras
  • R. C. King, C. Tollu, and F. Toumazet -- Stretched Littlewood-Richardson and Kostka coefficients
  • P. Kramer -- Group actions on compact hyperbolic manifolds and closed geodesics
  • C. S. Lam -- Is there an ultimate symmetry in physics?
  • D. Britten and F. Lemire -- Formal characters and resolution of infinite-dimensional simple \(A_r\)-modules of finite degree
  • L. Bégin, C. Cummins, P. Mathieu, and M. A. Walton -- Fusion rules and the Patera-Sharp generating-function method
  • M. Moshinsky -- Transient effects in Wigner distribution phase space of a scattering problem
  • J. Patera -- R. T. Sharp and generating functions in group theory
  • G. Álvarez, F. Finkel, A. González-López, and M. A. Rodríguez -- Quasi-exact solvability in nonlinear optics
  • D. J. Rowe -- Coherent states, induced representations, geometric quantization, and their vector coherent state extensions
  • M. Bodner and G. L. Shaw -- Symmetry math video game used to train profound spatial-temporal reasoning abilities equivalent to dynamical knot theory
  • M. A. Walton -- Polytope sums and Lie characters
  • P. Winternitz -- Subalgebras of Lie algebras. Example of sl(3,\(\mathbb{R}\))
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