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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • Sylvester versus Gundelfinger 
    Brouwer, A.E.; Popoviciu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Let Vn be the SL₂-module of binary forms of degree n and let V=V₁⊕V₃⊕V₄. We show that the minimum number of generators of the algebra R=C[V]SL₂ of polynomial functions on V invariant under the action of SL₂ equals 63. This ...
  • 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 ...
  • Symmetries and Invariant Differential Pairings 
    Eastwood, M.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The purpose of this article is to motivate the study of invariant, and especially conformally invariant, differential pairings. Since a general theory is lacking, this work merely presents some interesting examples of these ...
  • Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation 
    Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E₆⁽¹⁾ symmetry. We present a description of a set of symmetries of the ...
  • 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 Lorentzian Three-Manifolds with Recurrent Curvature 
    Calvaruso, G.; Zaeim, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Locally homogeneous Lorentzian three-manifolds with recurrect curvature are special examples of Walker manifolds, that is, they admit a parallel null vector field. We obtain a full classification of the symmetries of these ...
  • 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 ...
  • 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. ...
  • Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane 
    Batlle, C.; Gomis, J.; Kamimura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We study all the symmetries of the free Schrödinger equation in the non-commutative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg ...
  • Symmetries of the Hirota Difference Equation 
    Pogrebkov, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation ...
  • Symmetries of the Space of Linear Symplectic Connections 
    Fox, D.J.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    There is constructed a family of Lie algebras that act in a Hamiltonian way on the symplectic affine space of linear symplectic connections on a symplectic manifold. The associated equivariant moment map is a formal sum ...
  • Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation 
    Lisok, A.L.; Shapovalov, A.V.; Trifonov, A.Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical ...
  • Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models 
    Taranov, V.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Characteristic examples of continuous symmetries in hydrodynamic plasma theory (partial differential equations) and in kinetic Vlasov-Maxwell models (integro-differential equations) are considered. Possible symmetry ...
  • Symmetry Groups of An Hypergeometric Series 
    Kajihara, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Structures of symmetries of transformations for Holman-Biedenharn-Louck An hypergeometric series: An terminating balanced ₄F₃ series and An elliptic ₁₀E₉ series are discussed. Namely the description of the invariance groups ...
  • 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 ...
  • Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity 
    Shapovalov, A.V.; Rezaev, R.O.; Trifonov, A.Yu. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlocal nonlinear drift term is reduced to a similar problem for the correspondent linear equation. The relation between symmetry operators of the linear ...
  • Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation 
    Bahrami, S.; Nasiri, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In a previous work the concept of quantum potential is generalized into extended phase space (EPS) for a particle in linear and harmonic potentials. It was shown there that in contrast to the Schrödinger quantum mechanics ...
  • Symplectic Applicability of Lagrangian Surfaces 
    Musso, E.; Nicolodi, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived ...
  • 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 ...
  • Systems of Differential Operators and Generalized Verma Modules 
    Kubo, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this paper we close the cases that were left open in our earlier works on the study of conformally invariant systems of second-order differential operators for degenerate principal series. More precisely, for these ...

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