Algebraic Methods in Physics: A Symposium for the 60th Birthdays of Jiří Patera and Pavel Winternitz

Front Matter....Pages i-xix
Self-Similarities and Invariant Densities for Model Sets....Pages 1-15
Symmetry Operations in the Brain: Music and Reasoning....Pages 17-38
Lie Modules of Bounded Multiplicities....Pages 39-46
Moving Frames and Coframes....Pages 47-64
The Fibonacci-Deformed Harmonic Oscillator....Pages 65-79
Continuous and Discrete Linearizable Systems: The Riccati Saga....Pages 81-94
Superintegrability on Two-Dimensional Complex Euclidean Space....Pages 95-103
Hydrodynamic Systems and the Higher-Dimensional Laplace Transformations of Cartan Submanifolds....Pages 105-120
Branching Rules and Weight Multiplicities for Simple and Affine Lie Algebras....Pages 121-133
Conditions for the Existence of Higher Symmetries and Nonlinear Evolutionary Equations on the Lattice....Pages 135-148
Complete Description of the Voronoï Cell of the Lie Algebra A n Weight Lattice. On the Bounds for the Number of d-Faces of the n -Dimensional Voronoï Cells....Pages 149-171
The Relativistic Oscillator and the Mass Spectra of Baryons....Pages 173-191
Seiberg-Witten Theory Without Tears....Pages 193-204
Bargmann Representation for Some Deformed Harmonic Oscillators with Non-Fock Representation....Pages 205-218
The Vector-Coherent-State Inducing Construction for Clebsch-Gordan Coefficients....Pages 219-231
Highest-Weight Representations of Borcherds Algebras....Pages 233-245
Graded Contractions of Lie Algebras of Physical Interest....Pages 247-259