Algebraic Methods in Physics
Subtitle: a Symposium for the 60th Birthdays of Jiří Patera and Pavel Winternitz
By: edited by Yvan Saint-Aubin, Luc Vinet
Contributors: Vinet, Luc
Series: CRM Series in Mathematical Physics; CRM series in mathematical physics
Publisher: Springer New York; Imprint; Springer
Published: 2001
Place of publication: New York, NY
Language: eng
Format: [electronic resource] :
Number of pages: 259
ISBN-13: 9781461301196
Subjects: Quantum theory; Physics
Description: This book pays tribute to two pioneers in the field of Mathematical physics, Jiri Patera and Pavel Winternitz of the CRM. Each has contributed more than forty years to the subject of mathematical physics, particularly to the study of algebraic methods.
Table of contents: title: Self-Similarities and Invariant Densities for Model Sets; title: Symmetry Operations in the Brain: Music and Reasoning; title: Lie Modules of Bounded Multiplicities; title: Moving Frames and Coframes; title: The Fibonacci-Deformed Harmonic Oscillator; title: Continuous and Discrete Linearizable Systems: The Riccati saga; title: Superintegrability on Two-Dimensional Complex Euclidean Space; title: Hydrodynamic Systems and the Higher-Dimensional Laplace Transformations of Cartan Submanifolds; title: Branching Rules and Weight Multiplicities for Simple and Affine Lie Algebras; title: Conditions for the Existence of Higher Symmetries and Nonlinear Evolutionary Equations on the Lattice; title: Complete Description of the Voronoi Cell of the Lie Algebra Aäsub nü Weight Lattice. On the Bounds for the number of d-faces of the n-dimensional Voronoi Cells; title: The Relativistic Oscillator and the Mass spectra of Baryons; title: Seiberg-Witten Theory Without Tears; title: Bargmann Representation for Some Deformed Harmonic Oscillators with non-Fock Representation; title: The Vector-Coherent State Inducing Construction for Clebsch-Gordon Coefficients; title: Higest-Weight Representations of Borcheds algebras; title: Graded Contractions of Lie Algebras of Physical Interest.