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

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.

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Content:
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 Vorono? Cell of the Lie Algebra A n Weight Lattice. On the Bounds for the Number of d-Faces of the n-Dimensional Vorono? 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

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Content:
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 Vorono? Cell of the Lie Algebra A n Weight Lattice. On the Bounds for the Number of d-Faces of the n-Dimensional Vorono? 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
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