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2008, том 4  


On the Role of the Normalization Factors $\kappa_n$ and of the Pseudo-Metric $\mathcal P\neq\mathcal P^\dagger$ in Crypto-Hermitian Quantum Models
Miloslav Znojil
001
$E$-Orbit Functions
Anatoliy U. Klimyk, Jiri Patera
002
Affine Poisson Groups and WZW Model
Ctirad Klimcík
003
Generalized Symmetries of Massless Free Fields on Minkowski Space
Juha Pohjanpelto, Stephen C. Anco
004
Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey
Yvette Kosmann-Schwarzbach
005
Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models
Volodymyr B. Taranov
006
Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States
Teunis C. Dorlas, Wolodymyr I. Skrypnik
007
Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D
E. G. Kalnins, Willard Miller. Jr., Sarah Post
008
A Unified Model of Phantom Energy and Dark Matter
Max Chaves, Douglas Singleton
009
Global Attraction to Solitary Waves in Models Based on the Klein–Gordon Equation
Alexander I. Komech, Andrew A. Komech
010
Classical $R$-Operators and Integrable Generalizations of Thirring Equations
Taras V. Skrypnik
011
Preon Model and Family Replicated $E_6$ Unification
Chitta Ranjan Das, Larisa V. Laperashvili
012
Towards Unifying Structures in Higher Spin Gauge Symmetry
Anders K. H. Bengtsson
013
Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation
Samira Bahrami, Sadolah Nasiri
014
Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
Luc Vinet, Alexei Zhedanov
015
The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
Roman Ya. Matsyuk
016
Branching Laws for Some Unitary Representations of $\mathrm{SL}(4,\mathbb R)$
Bent Ørsted, Birgit Speh
017
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
Anatoly G.G. Meshkov, Maxim Ju. Balakhnev
018
Single-Pole Interaction of the Particle with the String
Milovan Vasilic, Marko Vojinovic
019
An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie
Richard D. Bourgin, Thierry P. Robart
020
On Parametrization of the Linear $\mathrm{GL}(4,C)$ and Unitary $\mathrm{SU}(4)$ Groups in Terms of Dirac Matrices
Victor M. Red'kov, Andrei A. Bogush, Natalia G. Tokarevskaya
021
Hidden Symmetries of M-Theory and Its Dynamical Realization
Alexei J. Nurmagambetov
022
SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
Kazuki Hasebe
023
Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field
Brigitte Hiller, Alexander A. Osipov, Alex H. Blin, João da Providência
024
Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models
Sergei E. Parkhomenko
025
Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
Myriam Mondragón, George Zoupanos
026
Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia
Piyanuch Siriwat, Sergey V. Meleshko
027
Noncommutative Lagrange Mechanics
Denis Kochan
028
Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
Vladimir S. Gerdjikov, Nikolay A. Kostov
029
Geodesic Equations on Diffeomorphism Groups
Cornelia Vizman
030
Recent Applications of the Theory of Lie Systems in Ermakov Systems
José F. Cariñena, Javier de Lucas, Manuel F. Rañada
031
Equivariance, Variational Principles, and the Feynman Integral
George Svetlichny
032
The Fundamental $k$-Form and Global Relations
Anthony C. L. Ashton
033
Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
Gloria Marí Beffa
034
Relative differential $K$-characters
Mohamed Maghfoul
035
A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
Stephen M. Paneitz
036
The Research of Thomas P. Branson
Michael G. Eastwood, A. Rod Gover
037
Nonlinear Fokker–Planck Equation in the Model of Asset Returns
Alexander Shapovalov, Andrey Trifonov, Elena Masalova
038
Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms
Milena Svobodová
039
Quantum Dynamics on the Worldvolume from Classical $\mathrm{su}(n)$ Cohomology
José M. Isidro, Pedro Fernández de Córdoba
040
Integrable String Models in Terms of Chiral Invariants of $\mathrm{SU}(n)$, $\mathrm{SO}(n)$, $\mathrm{SP}(n)$ Groups
Victor D. Gershun
041
Local Quasitriangular Hopf Algebras
Shouchuan Zhang, Mark D. Gould, Yao-Zhong Zhang
042
Riccati and Ermakov Equations in Time-Dependent and Time-Independent Quantum Systems
Dieter Schuch
043
Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces
Eiji Onodera
044
Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy
George Yu. Bogoslovsky
045
Hamiltonian Systems Inspired by the Schrödinger Equation
Vasyl Kovalchuk, Jan Jerzy Slawianowski
046
Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras
Reinhard Honegger, Alfred Rieckers, Lothar Schlafer
047
Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
Askold Duviryak
048
Free Field Approach to Solutions of the Quantum Knizhnik–Zamolodchikov Equations
Kazunori Kuroki, Atsushi Nakayashiki
049
Twin “Fano-Snowflakes” over the Smallest Ring of Ternions
Metod Saniga, Hans Havlicek, Michel Planat, Petr Pracna
050
Quantum Painlevé Equations: from Continuous to Discrete
Hajime Nagoya, Basil Grammaticos, Alfred Ramani
051
Zhedanov's Algebra $AW(3)$ and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra
Tom H. Koornwinder
052
Periodic and Solitary Travelling-Wave Solutions of an Extended Reduced Ostrovsky Equation
E. John Parkes
053
Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
Dieter Schuch, Marcos Moshinsky
054
Space-Time Diffeomorphisms in Noncommutative Gauge Theories
Marcos Rosenbaum, J. David Vergara, L. Román Juarez
055
Tridiagonal Symmetries of Models of Nonequilibrium Physics
Boyka Aneva
056
On Griess Algebras
Michael Roitman
057
Contact Geometry of Hyperbolic Equations of Generic Type
Dennis The
058
Projections of Singular Vectors of Verma Modules over Rank 2 Kac–Moody Lie Algebras
Dmitry Fuchs, Constance Wilmarth
059
Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
Damien Calaque, Carlo A. Rossi
060
Schwinger–Fronsdal Theory of Abelian Tensor Gauge Fields
Sebastian Guttenberg, George Savvidy
061
Isoparametric and Dupin Hypersurfaces
Thomas E. Cecil
062
Exterior Differential Systems for Yang–Mills Theories
Frank B. Estabrook
063
Hochschild Homology and Cohomology of Klein Surfaces
Frédéric Butin
064
$\mathfrak{sl}(2)$-Trivial Deformations of $\operatorname{Vect}_{\mathrm{Pol}}(\mathbb R)$-Modules of Symbols
Mabrouk Ben Ammar, Maha Boujelbene
065
Hochschild Cohomology Theories in White Noise Analysis
Rémi Léandre
066
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions
Khalifa Trimèche
067
Wall Crossing, Discrete Attractor Flow and Borcherds Algebra
Miranda C. N. Cheng, Erik P. Verlinde
068
Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
Doug Pickrell
069
The PBW Filtration, Demazure Modules and Toroidal Current Algebras
Evgeny Feigin
070
Einstein Gravity, Lagrange–Finsler Geometry, and Nonsymmetric Metrics
Sergiu I. Vacaru
071
A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
Metod Saniga, Petr Pracna
072
Solutions Classification to the Extended Reduced Ostrovsky Equation
Yury A. Stepanyants
073
First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes
Nizar Demni
074
Generalized Bessel function of Type $D$
Nizar Demni
075
Liouville Theorem for Dunkl Polyharmonic Functions
Guangbin Ren, Liang Liu
076
On Miura Transformations and Volterra-Type Equations Associated with the Adler–Bobenko–Suris Equations
Decio Levi, Matteo Petrera, Christian Scimiterna, Ravil Yamilov
077
Deligne–Beilinson Cohomology and Abelian Link Invariants
Enore Guadagnini, Frank Thuillier
078
Non-Gatherable Triples for Non-Affine Root Systems
Ivan Cherednik, Keith Schneider
079
Analyticity of the Free Energy of a Closed 3-Manifold
Stavros Garoufalidis, Thang T. Q. Lê, Marcos Mariño
080
Generating Series for Nested Bethe Vectors
Sergey Khoroshkin, Stanislav Pakuliak
081
Some Orthogonal Polynomials in Four Variables
Charles F. Dunkl
082
A Limit Relation for Dunkl–Bessel Functions of Type A and B
Margit Rösler, Michael Voit
083
Dunkl Hyperbolic Equations
Hatem Mejjaoli
084
String Functions for Affine Lie Algebras Integrable Modules
Petr Kulish, Vladimir Lyakhovsky
085
Vertex Algebroids over Veronese Rings
Fyodor Malikov
086
The $N=1$ Triplet Vertex Operator Superalgebras: Twisted Sector
Drazen Adamovic, Antun Milas
087
Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
Shirley Bromberg, Alberto Medina
088
A Probablistic Origin for a New Class of Bivariate Polynomials
Michael R. Hoare, Mizan Rahman
089
Symmetries of Spin Calogero Models
Vincent Caudrelier, Nicolas Crampé
090
External Ellipsoidal Harmonics for the Dunkl–Laplacian
H. Volkmer
091
Sonine Transform Associated to the Dunkl Kernel on the Real Line
Fethi Soltani
092
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
Hendrik De Bie
093
Symmetry, Integrability and Geometry: Methods and Applications
 
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