GROUP 24: Physical and Mathematical Aspects of Symmetries: Proceedings of the 24th International Colloquium on Group Theoretical Methods in Physics, Paris, 15-20 July 2002

J.P Gazeau

R. Kerner

J.P Antoine

S Metens

J.Y Thibon

One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology.Awarded the Wigner Medal and the Weyl Prize, respectively, H.J. Lipkin and E. Frenkel begin the volume with their contributions. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections.As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries constitutes an essential reference for all researchers interested in various current developments related to the important concept of symmetry.

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Cuprins

The 2002 Wigner Medal, The Wigner Medal 2002: Introduction, The 2002 Hermann Weyl Prize. Plenary Sessions. Symmetry and graph theory as tools for the treatment of rr-systems. Special Plenary Session & Round Table. Historical and Epistemological Aspects of Group Theory in Physics. Section 1: Discrete Groups and Geometry. Section 2: Strings, Cosmology and Gravitation. Time in quantum geometrodynamics. Fuzzy D-branes on group manifolds. Section 3: Conformal Theories and Integrable Systems. Section 4: Particle and Nuclear Physics. Section 5: Atomic and Molecular Physics, Theoretical Chemistry. Quantum algebraic symmetries in atomic nuclei and metal clusters. Section 6. Noncommutative Geometry. Section 7: Methods and Applications of Quantum Theory. Section 8: Algebras, Groups and their Representations. Section 9: Nonlinear Systems and their Symmetries. Mini-Symposium: Quantum Group Theory and Integrable Systems. Mini-Symposium: Quantum Group Theory and Integrable Systems. Satellite Colloquium: Coherent States, Wavelets and Signal Processing 1. Part A: Coherent States and Phase Space Methods. Part B: Wavelets and their Applications