Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
2008, Volume 4


Periodic and Solitary Travelling-Wave Solutions of an Extended Reduced Ostrovsky Equation
E. John Parkes
SIGMA 4 (2008), 053, 17 pages   [ abs   pdf   ps ]

Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra
Tom H. Koornwinder
SIGMA 4 (2008), 052, 17 pages   [ abs   pdf   ps ]

Quantum Painlevé Equations: from Continuous to Discrete
Hajime Nagoya, Basil Grammaticos and Alfred Ramani
SIGMA 4 (2008), 051,  9 pages   [ abs   pdf   ps ]

Twin ''Fano-Snowflakes'' over the Smallest Ring of Ternions
Metod Saniga, Hans Havlicek, Michel Planat and Petr Pracna
SIGMA 4 (2008), 050,  7 pages   [ abs   pdf   ps ]

Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations
Kazunori Kuroki and Atsushi Nakayashiki
SIGMA 4 (2008), 049, 13 pages   [ abs   pdf   ps ]

Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
Askold Duviryak
SIGMA 4 (2008), 048, 19 pages   [ abs   pdf   ps ]

Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras
Reinhard Honegger, Alfred Rieckers and Lothar Schlafer
SIGMA 4 (2008), 047, 37 pages   [ abs   pdf   ps ]

Hamiltonian Systems Inspired by the Schrödinger Equation
Vasyl Kovalchuk and Jan Jerzy Slawianowski
SIGMA 4 (2008), 046,  9 pages   [ abs   pdf   ps ]

Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy
George Yu. Bogoslovsky
SIGMA 4 (2008), 045, 21 pages   [ abs   pdf   ps ]

Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces
Eiji Onodera
SIGMA 4 (2008), 044, 10 pages   [ abs   pdf   ps ]

Riccati and Ermakov Equations in Time-Dependent and Time-Independent Quantum Systems
Dieter Schuch
SIGMA 4 (2008), 043, 16 pages   [ abs   pdf   ps ]

Local Quasitriangular Hopf Algebras
Shouchuan Zhang, Mark D. Gould and Yao-Zhong Zhang
SIGMA 4 (2008), 042, 14 pages   [ abs   pdf   ps ]

Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups
Victor D. Gershun
SIGMA 4 (2008), 041, 16 pages   [ abs   pdf   ps ]

Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology
José M. Isidro and Pedro Fernández de Córdoba
SIGMA 4 (2008), 040, 10 pages   [ abs   pdf   ps ]

Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms
Milena Svobodová
SIGMA 4 (2008), 039, 13 pages   [ abs   pdf   ps ]

Nonlinear Fokker-Planck Equation in the Model of Asset Returns
Alexander Shapovalov, Andrey Trifonov and Elena Masalova
SIGMA 4 (2008), 038, 10 pages   [ abs   pdf   ps ]

The Research of Thomas P. Branson
Michael G. Eastwood and A. Rod Gover
SIGMA 4 (2008), 037,  7 pages   [ abs   pdf   ps ]

A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
Stephen M. Paneitz
SIGMA 4 (2008), 036,  3 pages   [ abs   pdf   ps ]

Relative differential K-characters
Mohamed Maghfoul
SIGMA 4 (2008), 035, 10 pages   [ abs   pdf   ps ]

Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
Gloria Marí Beffa
SIGMA 4 (2008), 034, 23 pages   [ abs   pdf   ps ]

The Fundamental k-Form and Global Relations
Anthony C.L. Ashton
SIGMA 4 (2008), 033, 15 pages   [ abs   pdf   ps ]

Equivariance, Variational Principles, and the Feynman Integral
George Svetlichny
SIGMA 4 (2008), 032, 13 pages   [ abs   pdf   ps ]

Recent Applications of the Theory of Lie Systems in Ermakov Systems
José F. Cariñena, Javier de Lucas and Manuel F. Rañada
SIGMA 4 (2008), 031, 18 pages   [ abs   pdf   ps ]

Geodesic Equations on Diffeomorphism Groups
Cornelia Vizman
SIGMA 4 (2008), 030, 22 pages   [ abs   pdf   ps ]

Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
Vladimir S. Gerdjikov and Nikolay A. Kostov
SIGMA 4 (2008), 029, 30 pages   [ abs   pdf   ps ]

Noncommutative Lagrange Mechanics
Denis Kochan
SIGMA 4 (2008), 028,  9 pages   [ abs   pdf   ps ]

Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia
Piyanuch Siriwat and Sergey V. Meleshko
SIGMA 4 (2008), 027, 19 pages   [ abs   pdf   ps ]

Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
Myriam Mondragón and George Zoupanos
SIGMA 4 (2008), 026, 26 pages   [ abs   pdf   ps ]

Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models
Sergei E. Parkhomenko
SIGMA 4 (2008), 025, 14 pages   [ abs   pdf   ps ]

Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field
Brigitte Hiller, Alexander A. Osipov, Alex H. Blin and João da Providência
SIGMA 4 (2008), 024, 14 pages   [ abs   pdf   ps ]

SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
Kazuki Hasebe
SIGMA 4 (2008), 023, 21 pages   [ abs   pdf   ps ]

Hidden Symmetries of M-Theory and Its Dynamical Realization
Alexei J. Nurmagambetov
SIGMA 4 (2008), 022, 18 pages   [ abs   pdf   ps ]

On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices
Victor M. Red'kov, Andrei A. Bogush and Natalia G. Tokarevskaya
SIGMA 4 (2008), 021, 46 pages   [ abs   pdf   ps ]

An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie
Richard D. Bourgin and Thierry P. Robart
SIGMA 4 (2008), 020, 10 pages   [ abs   pdf   ps ]

Single-Pole Interaction of the Particle with the String
Milovan Vasilic and Marko Vojinovic
SIGMA 4 (2008), 019,  6 pages   [ abs   pdf   ps ]

Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
Anatoly G. Meshkov and Maxim Ju. Balakhnev
SIGMA 4 (2008), 018, 29 pages   [ abs   pdf   ps ]

Branching Laws for Some Unitary Representations of SL(4,R)
Bent Ørsted and Birgit Speh
SIGMA 4 (2008), 017, 19 pages   [ abs   pdf   ps ]

The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
Roman Ya. Matsyuk
SIGMA 4 (2008), 016, 11 pages   [ abs   pdf   ps ]

Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
Luc Vinet and Alexei Zhedanov
SIGMA 4 (2008), 015, 22 pages   [ abs   pdf   ps ]

Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation
Samira Bahrami and Sadolah Nasiri
SIGMA 4 (2008), 014,  7 pages   [ abs   pdf   ps ]

Towards Unifying Structures in Higher Spin Gauge Symmetry
Anders K.H. Bengtsson
SIGMA 4 (2008), 013, 23 pages   [ abs   pdf   ps ]

Preon Model and Family Replicated E6 Unification
Chitta Ranjan Das and Larisa V. Laperashvili
SIGMA 4 (2008), 012, 15 pages   [ abs   pdf   ps ]

Classical R-Operators and Integrable Generalizations of Thirring Equations
Taras V. Skrypnyk
SIGMA 4 (2008), 011, 19 pages   [ abs   pdf   ps ]

Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation
Alexander I. Komech and Andrew A. Komech
SIGMA 4 (2008), 010, 23 pages   [ abs   pdf   ps ]

A Unified Model of Phantom Energy and Dark Matter
Max Chaves and Douglas Singleton
SIGMA 4 (2008), 009, 11 pages   [ abs   pdf   ps ]

Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D
Ernest G. Kalnins, Willard Miller Jr. and Sarah Post
SIGMA 4 (2008), 008, 21 pages   [ abs   pdf   ps ]

Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States
Teunis C. Dorlas and Wolodymyr I. Skrypnik
SIGMA 4 (2008), 007, 14 pages   [ abs   pdf   ps ]

Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models
Volodymyr B. Taranov
SIGMA 4 (2008), 006,  7 pages   [ abs   pdf   ps ]

Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey
Yvette Kosmann-Schwarzbach
SIGMA 4 (2008), 005, 30 pages   [ abs   pdf   ps ]

Generalized Symmetries of Massless Free Fields on Minkowski Space
Juha Pohjanpelto and Stephen C. Anco
SIGMA 4 (2008), 004, 17 pages   [ abs   pdf   ps ]

Affine Poisson Groups and WZW Model
Ctirad Klimcík
SIGMA 4 (2008), 003,  5 pages   [ abs   pdf   ps ]

E-Orbit Functions
Anatoliy U. Klimyk and Jiri Patera
SIGMA 4 (2008), 002, 57 pages   [ abs   pdf   ps ]

On the Role of the Normalization Factors κn and of the Pseudo-Metric PP in Crypto-Hermitian Quantum Models
Miloslav Znojil
SIGMA 4 (2008), 001,  9 pages   [ abs   pdf   ps ]


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