ЗМІСТ

Znojil M.
On the Role of the Normalization Factors κ_n and of the Pseudo-Metric P ≠ P^† in Crypto-Hermitian Quantum Models

Klimyk A.U., Patera J.
E-Orbit Functions

Klimcík C.
Affine Poisson Groups and WZW Model

Pohjanpelto J., Anco S.C.
Generalized Symmetries of Massless Free Fields on Minkowski Space

Kosmann-Schwarzbach Y.
Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey

Taranov V.B.
Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models

Dorlas T.C., Skrypnik W.I.
Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States

Kalnins E.G., Post S., Miller Jr. W.
Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D

Chaves M., Singleton D.
A Unified Model of Phantom Energy and Dark Matter

Komech A.I., Komech A.A.
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio

Skrypnyk T.V.
Classical R-Operators and Integrable Generalizations of Thirring Equations

Das C.R., Laperashvili L.V.
Preon Model and Family Replicated E₆ Unification

Bengtsson Anders K.H.
Towards Unifying Structures in Higher Spin Gauge Symmetry

Bahrami S., Nasiri S.
Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation

Vinet L., Zhedanov A.
Quasi-Linear Algebras and Integrability (the Heisenberg Picture)

Matsyuk R.Ya.
The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time

Ørsted B., Speh B.
Branching Laws for Some Unitary Representations of SL(4,R)

Meshkov A.G., Balakhnev M.Ju.
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions

Vasilic M., Vojinovic M.
Single-Pole Interaction of the Particle with the String

Bourgin R.D., Robart T.P.
An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie

Red'kov V.M., Bogush A.A., Tokarevskaya N.G.
On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices

Nurmagambetov A.J.
Hidden Symmetries of M-Theory and Its Dynamical Realization

Hasebe K.
SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry

Hiller B., Osipov A.A., Blin A.H., Providência João da
Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field

Parkhomenko S.E.
Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models

Mondragón M., Zoupanos G.
Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions

Siriwat P., Meleshko S.V.
Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia

Kochan D.
Noncommutative Lagrange Mechanics

Gerdjikov V.S., Kostov N.A.
Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type

Vizman C.
Geodesic Equations on Diffeomorphism Groups

Cariñena J.F., de Lucas J., Rañada M.F.
Recent Applications of the Theory of Lie Systems in Ermakov Systems

Svetlichny G.
Equivariance, Variational Principles, and the Feynman Integral

Anthony C.L. Ashton
The Fundamental k-Form and Global Relations

Beffa G.M.
Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems

Maghfoul M.
Relative differential K-characters

Paneitz S.M.
A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)

Eastwood M.G., Gover A.R.
The Research of Thomas P. Branson

Shapovalov A., Trifonov A., Masalova E.
Nonlinear Fokker-Planck Equation in the Model of Asset Returns

Svobodová M.
Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms

Isidro J.M., Fernández de Córdoba P.
Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology

Gershun V.D.
Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups

Zhang S., Gould M.D., Zhang Yao-Zhong
Local Quasitriangular Hopf Algebras

Schuch D.
Riccati and Ermakov Equations in Time-Dependent and Time-Independent Quantum Systems

Onodera E.
Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces

Bogoslovsky G.Yu.
Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy

Kovalchuk V., Slawianowski J.J.
Hamiltonian Systems Inspired by the Schrödinger Equation

Honegger R., Rieckers A., Schlafer L.
Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras

Duviryak A.
Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons

Kuroki K., Nakayashiki A.
Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations

Saniga M., Havlicek H., Planat M., Pracna P.
Twin ''Fano-Snowflakes'' over the Smallest Ring of Ternions

Nagoya H., Grammaticos B., Ramani A.
Quantum Painlevé Equations: from Continuous to Discrete

Koornwinder T.H.
Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra

Parkes E.J.
Periodic and Solitary Travelling-Wave Solutions of an Extended Reduced Ostrovsky Equation

Schuch D., Moshinsky M.
Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics

Rosenbaum M., Vergara J.D., Juarez L.R.
Space-Time Diffeomorphisms in Noncommutative Gauge Theories

Aneva B.
Tridiagonal Symmetries of Models of Nonequilibrium Physics

Roitman M.
On Griess Algebras

The D.
Contact Geometry of Hyperbolic Equations of Generic Type

Fuchs D., Wilmarth C.
Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras

Calaque D., Rossi C.A.
Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants

Guttenberg S., Savvidy G.
Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields

Cecil T.E.
Isoparametric and Dupin Hypersurfaces

Estabrook F.B.
Exterior Differential Systems for Yang-Mills Theories

Butin F.
Hochschild Homology and Cohomology of Klein Surfaces

Ben Ammar M., Boujelbene M.
sl(2)-Trivial Deformations of Vect_Pol(R)-Modules of Symbols

Léandre R.
Hochschild Cohomology Theories in White Noise Analysis

Trimèche K.
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions

Cheng Miranda C.N., Verlinde E.P.
Wall Crossing, Discrete Attractor Flow and Borcherds Algebra

Pickrell D.
Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces

Feigin E.
The PBW Filtration, Demazure Modules and Toroidal Current Algebras

Vacaru S.I.
Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics

Saniga M., Pracna P.
A Jacobson Radical Decomposition of the Fano-Snowflake Configuration

Stepanyants Y.A.
Solutions Classification to the Extended Reduced Ostrovsky Equation

Demni N.
First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes

Demni N.
Generalized Bessel function of Type D

Ren G., Liu L.
Liouville Theorem for Dunkl Polyharmonic Functions

Levi D., Petrera M., Scimiterna C., Yamilov R.
On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations

Guadagnini E., Thuillier F.
Deligne-Beilinson Cohomology and Abelian Link Invariants

Cherednik I., Schneider K.
Non-Gatherable Triples for Non-Affine Root Systems

Garoufalidis S., Thang T.Q. Lê, Mariño M.
Analyticity of the Free Energy of a Closed 3-Manifold

Khoroshkin S., Pakuliak S.
Generating Series for Nested Bethe Vectors

Dunkl C.F.
Some Orthogonal Polynomials in Four Variables

Rösler M., Voit M.
A Limit Relation for Dunkl-Bessel Functions of Type A and B

Mejjaoli H.
Dunkl Hyperbolic Equations

Kulish P., Lyakhovsky V.
String Functions for Affine Lie Algebras Integrable Modules

Malikov F.
Vertex Algebroids over Veronese Rings

Adamovic D., Milas A.
The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector

Bromberg S., Medina A.
Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds

Hoare M.R., Rahman M.
A Probablistic Origin for a New Class of Bivariate Polynomials

Caudrelier V., Crampé N.
Symmetries of Spin Calogero Models

Volkmer H.
External Ellipsoidal Harmonics for the Dunkl-Laplacian

Soltani F.
Sonine Transform Associated to the Dunkl Kernel on the Real Line

De Bie H.
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian