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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • 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 ...
  • 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 ...
  • 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.
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • On the Role of the Normalization Factors κn and of the Pseudo-Metric P ≠ P† in Crypto-Hermitian Quantum Models 
    Znojil, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Among P-pseudo-Hermitian Hamiltonians H = P⁻¹H†P with real spectra, the ''weakly pseudo-Hermitian'' ones (i.e., those employing non-self-adjoint P ≠ P†) form a remarkable subfamily. We list some reasons why it deserves a ...
  • Branching Laws for Some Unitary Representations of SL(4,R) 
    Ørsted, B.; Speh, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this paper we consider the restriction of a unitary irreducible representation of type Aq(λ) of GL(4,R) to reductive subgroups H which are the fixpoint sets of an involution. We obtain a formula for the restriction to ...
  • Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio 
    Komech, A.I.; Komech, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic ...
  • Analyticity of the Free Energy of a Closed 3-Manifold 
    Garoufalidis, S.; Thang T.Q. Lê; Mariño, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The free energy of a closed 3-manifold is a 2-parameter formal power series which encodes the perturbative Chern-Simons invariant (also known as the LMO invariant) of a closed 3-manifold with gauge group U(N) for arbitrary ...
  • 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 ...
  • Quasi-Linear Algebras and Integrability (the Heisenberg Picture) 
    Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We study Poisson and operator algebras with the ''quasi-linear property'' from the Heisenberg picture point of view. This means that there exists a set of one-parameter groups yielding an explicit expression of dynamical ...
  • Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions 
    Mondragón, M.; Zoupanos, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Finite Unified Theories (FUTs) are N = 1 supersymmetric Grand Unified Theories, which can be made all-loop finite, both in the dimensionless (gauge and Yukawa couplings) and dimensionful (soft supersymmetry breaking terms) ...
  • String Functions for Affine Lie Algebras Integrable Modules 
    Kulish, P.; Lyakhovsky, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)

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