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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • Compact Riemannian Manifolds with Homogeneous Geodesics 
    Alekseevsky, D.V.; Nikonorov, Y.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and ...
  • On the Structure of Lie Pseudo-Groups 
    Olver, P.J.; Pohjanpelto, J.; Valiquette, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors. We argue that the latter approach offers certain advantages from ...
  • Axiomatic Quantum Field Theory in Terms of Operator Product Expansions: General Framework, and Perturbation Theory via Hochschild Cohomology 
    Hollands, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, we propose a new framework for quantum field theory in terms of consistency conditions. The consistency conditions that we consider are ''associativity'' or ''factorization'' conditions on the operator product ...
  • Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty'' 
    Bagchi, B.; Fring, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] contains various misconceptions. We compare ...
  • Higher Order Connections 
    Eastwood, M.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
  • Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results 
    Carlson, J.; Green, M.; Griffiths, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper is a survey of the subject of variations of Hodge structure (VHS) considered as exterior differential systems (EDS). We review developments over the last twenty-six years, with an emphasis on some key examples. ...
  • The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One 
    Ghressi, A.; Khériji, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We investigate the quadratic decomposition and duality to classify symmetrical Hq-semiclassical orthogonal q-polynomials of class one where Hq is the Hahn's operator. For any canonical situation, the recurrence coefficients, ...
  • Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds 
    Hall, G.S.; Lonie, D.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is ...
  • Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds – Characterization and Killing-Field Decomposition 
    Hammerl, M.; Sagerschnig, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Given a maximally non-integrable 2-distribution D on a 5-manifold M, it was discovered by P. Nurowski that one can naturally associate a conformal structure [g]D of signature (2,3) on M. We show that those conformal ...
  • Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions 
    Wise, D.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The ...
  • Image Sampling with Quasicrystals 
    Grundland, M.; Patera, J.; Masáková, Z.; Dodgson, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread ...
  • On Spinor Varieties and Their Secants 
    Manivel, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study the secant variety of the spinor variety, focusing on its equations of degree three and four. We show that in type Dn, cubic equations exist if and only if n ≥ 9. In general the ideal has generators in degrees at ...
  • Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model 
    Bogoliubov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The basic model of the non-equilibrium low dimensional physics the so-called totally asymmetric exclusion process is related to the 'crystalline limit' (q → ∞) of the SUq(2) quantum algebra. Using the quantum inverse ...
  • On Linear Differential Equations Involving a Para-Grassmann Variable 
    Mansour, T.; Schork, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    As a first step towards a theory of differential equations involving para-Grassmann variables the linear equations with constant coefficients are discussed and solutions for equations of low order are given explicitly. A ...
  • Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture 
    Langer, R.; Schlosser, M.J.; Warnaar, S.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic ...
  • Clifford Fibrations and Possible Kinematics 
    McRae, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Following Herranz and Santander [Herranz F.J., Santander M., Mem. Real Acad. Cienc. Exact. Fis. Natur. Madrid 32 (1998), 59-84, physics/9702030] we will construct homogeneous spaces based on possible kinematical algebras ...
  • Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type III. The Heun Case 
    Ruijsenaars, Simon N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The Heun equation can be rewritten as an eigenvalue equation for an ordinary differential operator of the form −d²/dx²+V(g;x), where the potential is an elliptic function depending on a coupling vector g ∈ R⁴. Alternatively, ...
  • Homological Algebra and Divergent Series 
    Gorbounov, V.; Schechtman, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study some features of infinite resolutions of Koszul algebras motivated by the developments in the string theory initiated by Berkovits.
  • PT Symmetry and QCD: Finite Temperature and Density 
    Ogilvie, M.C.; Meisinger, P.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two significant problems in QCD are studied: the sign ...
  • Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional ...

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