Geodesic

Tome 4 (2008)

Sommaire

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
$E$-Orbit Functions
Affine Poisson Groups and WZW Model
Generalized Symmetries of Massless Free Fields on Minkowski Space
Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey
Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models
Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States
Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D
A Unified Model of Phantom Energy and Dark Matter
Global Attraction to Solitary Waves in Models Based on the Klein–Gordon Equation
Classical $R$-Operators and Integrable Generalizations of Thirring Equations
Preon Model and Family Replicated $E_6$ Unification
Towards Unifying Structures in Higher Spin Gauge Symmetry
Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation
Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
Branching Laws for Some Unitary Representations of $\mathrm{SL}(4,\mathbb R)$
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
Single-Pole Interaction of the Particle with the String
An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie
On Parametrization of the Linear $\mathrm{GL}(4,C)$ and Unitary $\mathrm{SU}(4)$ Groups in Terms of Dirac
Hidden Symmetries of M-Theory and Its Dynamical Realization
SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field
Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models
Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia
Noncommutative Lagrange Mechanics
Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
Geodesic Equations on Diffeomorphism Groups
Recent Applications of the Theory of Lie Systems in Ermakov Systems
Equivariance, Variational Principles, and the Feynman Integral
The Fundamental $k$-Form and Global Relations
Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
Relative differential $K$-characters
A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
The Research of Thomas P. Branson
Nonlinear Fokker–Planck Equation in the Model of Asset Returns
Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms
Quantum Dynamics on the Worldvolume from Classical $\mathrm{su}(n)$ Cohomology
Integrable String Models in Terms of Chiral Invariants of $\mathrm{SU}(n)$, $\mathrm{SO}(n)$,
Local Quasitriangular Hopf Algebras
Riccati and Ermakov Equations in Time-Dependent and Time-Independent Quantum Systems
Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces
Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy
Hamiltonian Systems Inspired by the Schrödinger Equation
Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras
Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
Free Field Approach to Solutions of the Quantum Knizhnik–Zamolodchikov Equations
Twin “Fano-Snowflakes” over the Smallest Ring of Ternions
Quantum Painlevé Equations: from Continuous to Discrete
Zhedanov's Algebra $AW(3)$ and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra
Periodic and Solitary Travelling-Wave Solutions of an Extended Reduced Ostrovsky Equation
Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
Space-Time Diffeomorphisms in Noncommutative Gauge Theories
Tridiagonal Symmetries of Models of Nonequilibrium Physics
On Griess Algebras
Contact Geometry of Hyperbolic Equations of Generic Type
Projections of Singular Vectors of Verma Modules over Rank 2 Kac–Moody Lie Algebras
Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
Schwinger–Fronsdal Theory of Abelian Tensor Gauge Fields
Isoparametric and Dupin Hypersurfaces
Exterior Differential Systems for Yang–Mills Theories
Hochschild Homology and Cohomology of Klein Surfaces
$\mathfrak{sl}(2)$-Trivial Deformations of $\operatorname{Vect}_{\mathrm{Pol}}(\mathbb R)$-Modules of Symbols
Hochschild Cohomology Theories in White Noise Analysis
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions
Wall Crossing, Discrete Attractor Flow and Borcherds Algebra
Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
The PBW Filtration, Demazure Modules and Toroidal Current Algebras
Einstein Gravity, Lagrange–Finsler Geometry, and Nonsymmetric Metrics
A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
Solutions Classification to the Extended Reduced Ostrovsky Equation
First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes
Generalized Bessel function of Type $D$
Liouville Theorem for Dunkl Polyharmonic Functions
On Miura Transformations and Volterra-Type Equations Associated with the Adler–Bobenko–Suris Equations
Deligne–Beilinson Cohomology and Abelian Link Invariants
Non-Gatherable Triples for Non-Affine Root Systems
Analyticity of the Free Energy of a Closed 3-Manifold
Generating Series for Nested Bethe Vectors
Some Orthogonal Polynomials in Four Variables
A Limit Relation for Dunkl–Bessel Functions of Type A and B
Dunkl Hyperbolic Equations
String Functions for Affine Lie Algebras Integrable Modules
Vertex Algebroids over Veronese Rings
The $N=1$ Triplet Vertex Operator Superalgebras: Twisted Sector
Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
A Probablistic Origin for a New Class of Bivariate Polynomials
Symmetries of Spin Calogero Models
External Ellipsoidal Harmonics for the Dunkl–Laplacian
Sonine Transform Associated to the Dunkl Kernel on the Real Line
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian