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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Structure Constants of Diagonal Reduction Algebras of gl Type 
    Khoroshkin, S.; Ogievetsky, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra gln into gln⊕gln. Its representation theory is related to the theory of decompositions of tensor ...
  • Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform 
    Ballesteros, A.; Enciso, A.; Herranz, F.J.; Ragnisco, O.; Riglioni, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegrable classical systems on N-dimensional ...
  • Supersymmetric Quantum Mechanics and Painlevé IV Equation 
    Bermudez, David; Fern'andez C., David J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that ...
  • Supersymmetry Transformations for Delta Potentials 
    David J. Fernández C.; Gadella, M.; Nieto, L.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations ...
  • Symmetries in Connection Preserving Deformations 
    Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We wish to show that the root lattice of Bäcklund transformations of the q-analogue of the third and fourth Painlevé equations, which is of type (A₂+A₁)⁽¹⁾, may be expressed as a quotient of the lattice of connection ...
  • Symmetries of the Continuous and Discrete Krichever-Novikov Equation 
    Levi, D.; Winternitz, P.; Yamilov, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A symmetry classification is performed for a class of differential-difference equations depending on 9 parameters. A 6-parameter subclass of these equations is an integrable discretization of the Krichever-Novikov equation. ...
  • Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds 
    Carignano, A.; Fatibene, L.; McLenaghan, R.L.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize ...
  • Symplectic Maps from Cluster Algebras 
    Fordy, A.P.; Hone, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider nonlinear recurrences generated from the iteration of maps that arise from cluster algebras. More precisely, starting from a skew-symmetric integer matrix, or its corresponding quiver, one can define a set of ...
  • The 2-Transitive Transplantable Isospectral Drums 
    Schillewaert, J.; Thas, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    For Riemannian manifolds there are several examples which are isospectral but not isometric, see e.g. J. Milnor [Proc. Nat. Acad. Sci. USA 51 (1964), 542]; in the present paper, we investigate pairs of domains in R² which ...
  • The BGG Complex on Projective Space 
    Eastwood, M.G.; Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
  • The BGG Complex on Projective Space 
    Eastwood, M.G.; Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
  • The Decomposition of Global Conformal Invariants: Some Technical Proofs. I 
    Alexakis, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This paper forms part of a larger work where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ''global conformal invariants''; these are defined to be conformally invariant integrals of ...
  • The Fourier Transform on Quantum Euclidean Space 
    Coulembier, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed. The Fourier transforms can be defined by ...
  • The Fourier U(2) Group and Separation of Discrete Variables 
    Wolf, K.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4,R), whose maximal compact subgroup is the Fourier group U(2)F; this includes isotropic and anisotropic Fourier transforms, ...
  • The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I 
    Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We wish to explore a link between the Lax integrability of the q-Painlevé equations and the symmetries of the q-Painlevé equations. We shall demonstrate that the connection preserving deformations that give rise to the ...
  • The Non-Autonomous Chiral Model and the Ernst Equation of General Relativity in the Bidifferential Calculus Framework 
    Dimakis, A.; Kanning, N.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The non-autonomous chiral model equation for an m×m matrix function on a two-dimensional space appears in particular in general relativity, where for m=2 a certain reduction of it determines stationary, axially symmetric ...
  • The Quantum 3D Superparticle 
    Mezincescu, L.; Townsend, P.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The minimal (N=1) superparticle in three spacetime dimensions (3D) is quantized. For non-zero mass it describes a spin-1/4 semion supermultiplet of ''relativistic helicities'' (−1/4,1/4). The addition of a parity-violating ...
  • The Role of Symmetry and Separation in Surface Evolution and Curve Shortening 
    Broadbridge, P.; Vassiliou, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    With few exceptions, known explicit solutions of the curve shortening flow (CSE) of a plane curve, can be constructed by classical Lie point symmetry reductions or by functional separation of variables. One of the functionally ...
  • The Space of Connections as the Arena for (Quantum) Gravity 
    Gielen, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We review some properties of the space of connections as the natural arena for canonical (quantum) gravity, and compare to the case of the superspace of 3-metrics. We detail how a 1-parameter family of metrics on the space ...
  • The Universal Askey-Wilson Algebra 
    Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain ...

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