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Geodesic


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Symmetry, integrability and geometry: methods and applications
Tome 4 (2008)
Précédent Suivant


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

$E$-Orbit Functions
Anatoliy U. Klimyk ; Jiri Patera

Affine Poisson Groups and WZW Model
Ctirad Klimcík

Generalized Symmetries of Massless Free Fields on Minkowski Space
Juha Pohjanpelto ; Stephen C. Anco

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

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

Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States
Teunis C. Dorlas ; Wolodymyr I. Skrypnik

Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D
E. G. Kalnins ; Willard Miller. Jr. ; Sarah Post

A Unified Model of Phantom Energy and Dark Matter
Max Chaves ; Douglas Singleton

Global Attraction to Solitary Waves in Models Based on the Klein–Gordon Equation
Alexander I. Komech ; Andrew A. Komech

Classical $R$-Operators and Integrable Generalizations of Thirring Equations
Taras V. Skrypnik

Preon Model and Family Replicated $E_6$ Unification
Chitta Ranjan Das ; Larisa V. Laperashvili

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

Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation
Samira Bahrami ; Sadolah Nasiri

Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
Luc Vinet ; Alexei Zhedanov

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

Branching Laws for Some Unitary Representations of $\mathrm{SL}(4,\mathbb R)$
Bent Ørsted ; Birgit Speh

Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
Anatoly G.G. Meshkov ; Maxim Ju. Balakhnev

Single-Pole Interaction of the Particle with the String
Milovan Vasilic ; Marko Vojinovic

An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie
Richard D. Bourgin ; Thierry P. Robart

On Parametrization of the Linear $\mathrm{GL}(4,C)$ and Unitary $\mathrm{SU}(4)$ Groups in Terms of Dirac
Victor M. Red'kov ; Andrei A. Bogush ; Natalia G. Tokarevskaya

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

SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
Kazuki Hasebe

Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field
Brigitte Hiller ; Alexander A. Osipov ; Alex H. Blin ; João da Providência

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

Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
Myriam Mondragón ; George Zoupanos

Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia
Piyanuch Siriwat ; Sergey V. Meleshko

Noncommutative Lagrange Mechanics
Denis Kochan

Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
Vladimir S. Gerdjikov ; Nikolay A. Kostov

Geodesic Equations on Diffeomorphism Groups
Cornelia Vizman

Recent Applications of the Theory of Lie Systems in Ermakov Systems
José F. Cariñena ; Javier de Lucas ; Manuel F. Rañada

Equivariance, Variational Principles, and the Feynman Integral
George Svetlichny

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

Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
Gloria Marí Beffa

Relative differential $K$-characters
Mohamed Maghfoul

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

The Research of Thomas P. Branson
Michael G. Eastwood ; A. Rod Gover

Nonlinear Fokker–Planck Equation in the Model of Asset Returns
Alexander Shapovalov ; Andrey Trifonov ; Elena Masalova

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

Quantum Dynamics on the Worldvolume from Classical $\mathrm{su}(n)$ Cohomology
José M. Isidro ; Pedro Fernández de Córdoba

Integrable String Models in Terms of Chiral Invariants of $\mathrm{SU}(n)$, $\mathrm{SO}(n)$,
Victor D. Gershun

Local Quasitriangular Hopf Algebras
Shouchuan Zhang ; Mark D. Gould ; Yao-Zhong Zhang

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

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

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

Hamiltonian Systems Inspired by the Schrödinger Equation
Vasyl Kovalchuk ; Jan Jerzy Slawianowski

Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras
Reinhard Honegger ; Alfred Rieckers ; Lothar Schlafer

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

Free Field Approach to Solutions of the Quantum Knizhnik–Zamolodchikov Equations
Kazunori Kuroki ; Atsushi Nakayashiki

Twin “Fano-Snowflakes” over the Smallest Ring of Ternions
Metod Saniga ; Hans Havlicek ; Michel Planat ; Petr Pracna

Quantum Painlevé Equations: from Continuous to Discrete
Hajime Nagoya ; Basil Grammaticos ; Alfred Ramani

Zhedanov's Algebra $AW(3)$ and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra
Tom H. Koornwinder

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

Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
Dieter Schuch ; Marcos Moshinsky

Space-Time Diffeomorphisms in Noncommutative Gauge Theories
Marcos Rosenbaum ; J. David Vergara ; L. Román Juarez

Tridiagonal Symmetries of Models of Nonequilibrium Physics
Boyka Aneva

On Griess Algebras
Michael Roitman

Contact Geometry of Hyperbolic Equations of Generic Type
Dennis The

Projections of Singular Vectors of Verma Modules over Rank 2 Kac–Moody Lie Algebras
Dmitry Fuchs ; Constance Wilmarth

Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
Damien Calaque ; Carlo A. Rossi

Schwinger–Fronsdal Theory of Abelian Tensor Gauge Fields
Sebastian Guttenberg ; George Savvidy

Isoparametric and Dupin Hypersurfaces
Thomas E. Cecil

Exterior Differential Systems for Yang–Mills Theories
Frank B. Estabrook

Hochschild Homology and Cohomology of Klein Surfaces
Frédéric Butin

$\mathfrak{sl}(2)$-Trivial Deformations of $\operatorname{Vect}_{\mathrm{Pol}}(\mathbb R)$-Modules of Symbols
Mabrouk Ben Ammar ; Maha Boujelbene

Hochschild Cohomology Theories in White Noise Analysis
Rémi Léandre

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

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

Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
Doug Pickrell

The PBW Filtration, Demazure Modules and Toroidal Current Algebras
Evgeny Feigin

Einstein Gravity, Lagrange–Finsler Geometry, and Nonsymmetric Metrics
Sergiu I. Vacaru

A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
Metod Saniga ; Petr Pracna

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

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

Generalized Bessel function of Type $D$
Nizar Demni

Liouville Theorem for Dunkl Polyharmonic Functions
Guangbin Ren ; Liang Liu

On Miura Transformations and Volterra-Type Equations Associated with the Adler–Bobenko–Suris Equations
Decio Levi ; Matteo Petrera ; Christian Scimiterna ; Ravil Yamilov

Deligne–Beilinson Cohomology and Abelian Link Invariants
Enore Guadagnini ; Frank Thuillier

Non-Gatherable Triples for Non-Affine Root Systems
Ivan Cherednik ; Keith Schneider

Analyticity of the Free Energy of a Closed 3-Manifold
Stavros Garoufalidis ; Thang T. Q. Lê ; Marcos Mariño

Generating Series for Nested Bethe Vectors
Sergey Khoroshkin ; Stanislav Pakuliak

Some Orthogonal Polynomials in Four Variables
Charles F. Dunkl

A Limit Relation for Dunkl–Bessel Functions of Type A and B
Margit Rösler ; Michael Voit

Dunkl Hyperbolic Equations
Hatem Mejjaoli

String Functions for Affine Lie Algebras Integrable Modules
Petr Kulish ; Vladimir Lyakhovsky

Vertex Algebroids over Veronese Rings
Fyodor Malikov

The $N=1$ Triplet Vertex Operator Superalgebras: Twisted Sector
Drazen Adamovic ; Antun Milas

Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
Shirley Bromberg ; Alberto Medina

A Probablistic Origin for a New Class of Bivariate Polynomials
Michael R. Hoare ; Mizan Rahman

Symmetries of Spin Calogero Models
Vincent Caudrelier ; Nicolas Crampé

External Ellipsoidal Harmonics for the Dunkl–Laplacian
H. Volkmer

Sonine Transform Associated to the Dunkl Kernel on the Real Line
Fethi Soltani

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