Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volume 4, 2008

An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
Hendrik De Bie
SIGMA 4 (2008), 093, 11 pages   [ abs   pdf   ps ]
Sonine Transform Associated to the Dunkl Kernel on the Real Line
Fethi Soltani
SIGMA 4 (2008), 092, 14 pages   [ abs   pdf   ps ]
External Ellipsoidal Harmonics for the Dunkl-Laplacian
Hans Volkmer
SIGMA 4 (2008), 091, 13 pages   [ abs   pdf   ps ]
Symmetries of Spin Calogero Models
Vincent Caudrelier and Nicolas Crampé
SIGMA 4 (2008), 090, 15 pages   [ abs   pdf   ps ]
A Probablistic Origin for a New Class of Bivariate Polynomials
Michael R. Hoare and Mizan Rahman
SIGMA 4 (2008), 089, 18 pages   [ abs   pdf   ps ]
Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
Shirley Bromberg and Alberto Medina
SIGMA 4 (2008), 088, 13 pages   [ abs   pdf   ps ]
The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
Drazen Adamovic and Antun Milas
SIGMA 4 (2008), 087, 24 pages   [ abs   pdf   ps ]
Vertex Algebroids over Veronese Rings
Fyodor Malikov
SIGMA 4 (2008), 086, 28 pages   [ abs   pdf   ps ]
String Functions for Affine Lie Algebras Integrable Modules
Petr Kulish and Vladimir Lyakhovsky
SIGMA 4 (2008), 085, 18 pages   [ abs   pdf   ps ]
Dunkl Hyperbolic Equations
Hatem Mejjaoli
SIGMA 4 (2008), 084, 22 pages   [ abs   pdf   ps ]
A Limit Relation for Dunkl-Bessel Functions of Type A and B
Margit Rösler and Michael Voit
SIGMA 4 (2008), 083,  9 pages   [ abs   pdf   ps ]
Some Orthogonal Polynomials in Four Variables
Charles F. Dunkl
SIGMA 4 (2008), 082,  9 pages   [ abs   pdf   ps ]
Generating Series for Nested Bethe Vectors
Sergey Khoroshkin and Stanislav Pakuliak
SIGMA 4 (2008), 081, 23 pages   [ abs   pdf   ps ]
Analyticity of the Free Energy of a Closed 3-Manifold
Stavros Garoufalidis, Thang T.Q. Lê and Marcos Mariño
SIGMA 4 (2008), 080, 20 pages   [ abs   pdf   ps ]
Non-Gatherable Triples for Non-Affine Root Systems
Ivan Cherednik and Keith Schneider
SIGMA 4 (2008), 079, 12 pages   [ abs   pdf   ps ]
Deligne-Beilinson Cohomology and Abelian Link Invariants
Enore Guadagnini and Frank Thuillier
SIGMA 4 (2008), 078, 30 pages   [ abs   pdf   ps ]
On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations
Decio Levi, Matteo Petrera, Christian Scimiterna and Ravil Yamilov
SIGMA 4 (2008), 077, 14 pages   [ abs   pdf   ps ]
Liouville Theorem for Dunkl Polyharmonic Functions
Guangbin Ren and Liang Liu
SIGMA 4 (2008), 076,  6 pages   [ abs   pdf   ps ]
Generalized Bessel function of Type D
Nizar Demni
SIGMA 4 (2008), 075,  7 pages   [ abs   pdf   ps ]
First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes
Nizar Demni
SIGMA 4 (2008), 074, 14 pages   [ abs   pdf   ps ]
Solutions Classification to the Extended Reduced Ostrovsky Equation
Yury A. Stepanyants
SIGMA 4 (2008), 073, 19 pages   [ abs   pdf   ps ]
A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
Metod Saniga and Petr Pracna
SIGMA 4 (2008), 072, 7 pages   [ abs   pdf   ps ]
Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
Sergiu I. Vacaru
SIGMA 4 (2008), 071, 29 pages   [ abs   pdf   ps ]
The PBW Filtration, Demazure Modules and Toroidal Current Algebras
Evgeny Feigin
SIGMA 4 (2008), 070, 21 pages   [ abs   pdf   ps ]
Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
Doug Pickrell
SIGMA 4 (2008), 069, 33 pages   [ abs   pdf   ps ]
Wall Crossing, Discrete Attractor Flow and Borcherds Algebra
Miranda C.N. Cheng and Erik P. Verlinde
SIGMA 4 (2008), 068, 33 pages   [ abs   pdf   ps ]
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions
Khalifa Trimèche
SIGMA 4 (2008), 067, 22 pages   [ abs   pdf   ps ]
Hochschild Cohomology Theories in White Noise Analysis
Rémi Léandre
SIGMA 4 (2008), 066, 13 pages   [ abs   pdf   ps ]
sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols
Mabrouk Ben Ammar and Maha Boujelbene
SIGMA 4 (2008), 065, 19 pages   [ abs   pdf   ps ]
Hochschild Homology and Cohomology of Klein Surfaces
Frédéric Butin
SIGMA 4 (2008), 064, 26 pages   [ abs   pdf   ps ]
Exterior Differential Systems for Yang-Mills Theories
Frank B. Estabrook
SIGMA 4 (2008), 063,  4 pages   [ abs   pdf   ps ]
Isoparametric and Dupin Hypersurfaces
Thomas E. Cecil
SIGMA 4 (2008), 062, 28 pages   [ abs   pdf   ps ]
Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields
Sebastian Guttenberg and George Savvidy
SIGMA 4 (2008), 061, 17 pages   [ abs   pdf   ps ]
Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
Damien Calaque and Carlo A. Rossi
SIGMA 4 (2008), 060, 17 pages   [ abs   pdf   ps ]
Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
Dmitry Fuchs and Constance Wilmarth
SIGMA 4 (2008), 059, 11 pages   [ abs   pdf   ps ]
Contact Geometry of Hyperbolic Equations of Generic Type
Dennis The
SIGMA 4 (2008), 058, 52 pages   [ abs   pdf   ps ]
On Griess Algebras
Michael Roitman
SIGMA 4 (2008), 057, 35 pages   [ abs   pdf   ps ]
Tridiagonal Symmetries of Models of Nonequilibrium Physics
Boyka Aneva
SIGMA 4 (2008), 056, 16 pages   [ abs   pdf   ps ]
Space-Time Diffeomorphisms in Noncommutative Gauge Theories
Marcos Rosenbaum, J. David Vergara and L. Román Juarez
SIGMA 4 (2008), 055, 21 pages   [ abs   pdf   ps ]
Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
Dieter Schuch and Marcos Moshinsky
SIGMA 4 (2008), 054, 12 pages   [ abs   pdf   ps ]
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 P ≠ P† in Crypto-Hermitian Quantum Models
Miloslav Znojil
SIGMA 4 (2008), 001,  9 pages   [ abs   pdf   ps ]

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