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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4 за датою випуску

Сортувати за: Порядок: Результатів:

  • External Ellipsoidal Harmonics for the Dunkl-Laplacian 
    Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The paper introduces external ellipsoidal and external sphero-conal h-harmonics for the Dunkl-Laplacian. These external h-harmonics admit integral representations, and they are connected by a formula of Niven's type.
  • The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector 
    Adamovic, D.; Milas, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We classify irreducible σ-twisted modules for the N = 1 super triplet vertex operator superalgebra SW(m) introduced recently [Adamovic D., Milas A., Comm. Math. Phys., to appear, arXiv:0712.0379]. Irreducible graded ...
  • Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds 
    Bromberg, S.; Medina, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this work it is shown that a necessary condition for the completeness of the geodesics of left invariant pseudo-Riemannian metrics on Lie groups is also sufficient in the case of 3-dimensional unimodular Lie groups, and ...
  • A Limit Relation for Dunkl-Bessel Functions of Type A and B 
    Rösler, M.; Voit, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We prove a limit relation for the Dunkl-Bessel function of type BN with multiplicity parameters k₁ on the roots ±ei and k₂ on ±ei±ej where k₁ tends to infinity and the arguments are suitably scaled. It gives a good ...
  • Sonine Transform Associated to the Dunkl Kernel on the Real Line 
    Soltani, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We consider the Dunkl intertwining operator Vα and its dual tVα, we define and study the Dunkl Sonine operator and its dual on R. Next, we introduce complex powers of the Dunkl Laplacian Δα and establish inversion formulas ...
  • Symmetries of Spin Calogero Models 
    Caudrelier, V.; Crampé, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We investigate the symmetry algebras of integrable spin Calogero systems constructed from Dunkl operators associated to finite Coxeter groups. Based on two explicit examples, we show that the common view of associating one ...
  • A Probablistic Origin for a New Class of Bivariate Polynomials 
    Hoare, M.R.; Rahman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We present here a probabilistic approach to the generation of new polynomials in two discrete variables. This extends our earlier work on the 'classical' orthogonal polynomials in a previously unexplored direction, resulting ...
  • Dunkl Hyperbolic Equations 
    Mejjaoli, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We introduce and study the Dunkl symmetric systems. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite speed of it. Next the semi-linear Dunkl-wave equations are ...
  • String Functions for Affine Lie Algebras Integrable Modules 
    Kulish, P.; Lyakhovsky, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
  • Vertex Algebroids over Veronese Rings 
    Malikov, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators ...
  • Hochschild Homology and Cohomology of Klein Surfaces 
    Butin, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Within the framework of deformation quantization, a first step towards the study of star-products is the calculation of Hochschild cohomology. The aim of this article is precisely to determine the Hochschild homology and ...
  • Noncommutative Lagrange Mechanics 
    Kochan, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    It is proposed how to impose a general type of ''noncommutativity'' within classical mechanics from first principles. Formulation is performed in completely alternative way, i.e. without any resort to fuzzy and/or star ...
  • Local Quasitriangular Hopf Algebras 
    Zhang, S.; Gould, M.D.; Zhang, Yao-Zhong (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The ...
  • Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups 
    Gershun, V.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We considered two types of string models: on the Riemmann space of string coordinates with null torsion and on the Riemman-Cartan space of string coordinates with constant torsion. We used the hydrodynamic approach of ...
  • Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms 
    Svobodová, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important not only for investigating the structural properties of the algebras, but, on top of that, the fine gradings are often ...
  • A Unified Model of Phantom Energy and Dark Matter 
    Chaves, M.; Singleton, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    To explain the acceleration of the cosmological expansion researchers have considered an unusual form of mass-energy generically called dark energy. Dark energy has a ratio of pressure over mass density which obeys w = p/ρ ...
  • Single-Pole Interaction of the Particle with the String 
    Vasilic, M.; Vojinovic, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Within the framework of generalized Papapetrou method, we derive the effective equations of motion for a string with two particles attached to its ends, along with appropriate boundary conditions. The equations of motion ...
  • Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions 
    Meshkov, A.G.; Balakhnev, M.Ju. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained ...
  • The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time 
    Matsyuk, R.Ya. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The variational principle and the corresponding differential equation for geodesic circles in two dimensional (pseudo)-Riemannian space are being discovered. The relationship with the physical notion of uniformly accelerated ...
  • An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian 
    De Bie, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We introduce the so-called Clifford-Hermite polynomials in the framework of Dunkl operators, based on the theory of Clifford analysis. Several properties of these polynomials are obtained, such as a Rodrigues formula, a ...

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