Algebraic Methods in Physics

Self-Similarities and Invariant Densities for Model Sets.- Symmetry Operations in the Brain: Music and Reasoning.- Lie Modules of Bounded Multiplicities.- Moving Frames and Coframes.- The Fibonacci-Deformed Harmonic Oscillator.- Continuous and Discrete Linearizable Systems: The Riccati saga.- Superintegrability on Two-Dimensional Complex Euclidean Space.- Hydrodynamic Systems and the Higher-Dimensional Laplace Transformations of Cartan Submanifolds.- Branching Rules and Weight Multiplicities for Simple and Affine Lie Algebras.- Conditions for the Existence of Higher Symmetries and Nonlinear Evolutionary Equations on the Lattice.- Complete Description of the Voronoi Cell of the Lie Algebra Aasub nu Weight Lattice. On the Bounds for the number of d-faces of the n-dimensional Voronoi Cells.- The Relativistic Oscillator and the Mass spectra of Baryons.- Seiberg-Witten Theory Without Tears.- Bargmann Representation for Some Deformed Harmonic Oscillators with non-Fock Representation.- The Vector-Coherent State Inducing Construction for Clebsch-Gordon Coefficients.- Higest-Weight Representations of Borcheds algebras.- Graded Contractions of Lie Algebras of Physical Interest.