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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік за назвою

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  • Galois Groups of Difference Equations of Order Two on Elliptic Curves 
    Dreyfus, T.; Roques, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    This paper is concerned with difference equations on elliptic curves. We establish some general properties of the difference Galois groups of equations of order two, and give applications to the calculation of some difference ...
  • General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners 
    Díaz-Marín, H.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We propose a general reduction procedure for classical field theories provided with abelian gauge symmetries in a Lagrangian setting. These ideas come from an axiomatic presentation of the general boundary formulation (GBF) ...
  • Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres 
    Barbosa, V.S.; Menegatto, V.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an L²-positive definite and zonal kernel on the unit sphere of Cq in order that the ...
  • Geometry of Centroaffine Surfaces in R⁵ 
    Bushek, N.; Clelland, J.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R⁵∖{0} with nondegenerate centroaffine metric. We then give a complete ...
  • GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors 
    Pakuliak, S.; Ragoucy, E.; Slavnov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the GL(3)-based quantum ...
  • GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators 
    Pakuliak, S.; Ragoucy, E.; Slavnov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the total monodromy matrix of the model is presented as a product ...
  • Graded Bundles in the Category of Lie Groupoids 
    Bruce, A.J.; Grabowska, K.; Grabowski, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We define and make initial study of Lie groupoids equipped with a compatible homogeneity (or graded bundle) structure, such objects we will refer to as weighted Lie groupoids. One can think of weighted Lie groupoids as ...
  • Hankel Determinants of Zeta Values 
    Haynes, A.; Zudilin, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study the asymptotics of Hankel determinants constructed using the values ζ(an+b) of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the ...
  • Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) 
    Babichenko, A.; Creutzig, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal field theories. We consider the Takiff ...
  • Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative 
    Santana, A.J.; Stelmastchuk, S.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space. Furthermore, ...
  • Harmonic Oscillator on the SO(2,2) Hyperboloid 
    Petrosyan, D.R.; Pogosyan, G.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In the present work the classical problem of harmonic oscillator in the hyperbolic space H²₂: z²₀+z²₁−z²₂−z²₃=R² has been completely solved in framework of Hamilton-Jacobi equation. We have shown that the harmonic oscillator ...
  • Higher Order Deformations of Complex Structures 
    D'Hoker, E.; Phong, D.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Deformations of complex structures by finite Beltrami differentials are considered on general Riemann surfaces. Exact formulas to any fixed order are derived for the corresponding deformations of the period matrix, Green's ...
  • Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type IV. The Relativistic Heun (van Diejen) Case 
    Simon N.M. Ruijsenaars (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The 'relativistic' Heun equation is an 8-coupling difference equation that generalizes the 4-coupling Heun differential equation. It can be viewed as the time-independent Schrödinger equation for an analytic difference ...
  • Invariant Classification and Limits of Maximally Superintegrable Systems in 3D 
    Capel, J.J.; Kress, J.M.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The invariant classification of superintegrable systems is reviewed and utilized to construct singular limits between the systems. It is shown, by construction, that all superintegrable systems on conformally flat, 3D ...
  • Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds 
    Grochowski, M.; Warhurst, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In this article we develop some elementary aspects of a theory of symmetry in sub-Lorentzian geometry. First of all we construct invariants characterizing isometric classes of sub-Lorentzian contact 3 manifolds. Next we ...
  • Irreducible Generic Gelfand-Tsetlin Modules of gl(n) 
    Futorny, V.; Grantcharov, D.; Ramirez, L.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand-Tsetlin modules for the Lie algebra gl(n).
  • Lagrangian Reduction on Homogeneous Spaces with Advected Parameters 
    Vizman, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study the Euler-Lagrange equations for a parameter dependent G-invariant Lagrangian on a homogeneous G-space. We consider the pullback of the parameter dependent Lagrangian to the Lie group G, emphasizing the special ...
  • Lie Algebroids in the Loday-Pirashvili Category 
    Rovi, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We describe Lie-Rinehart algebras in the tensor category LM of linear maps in the sense of Loday and Pirashvili and construct a functor from Lie-Rinehart algebras in LM to Leibniz algebroids.
  • Local Properties of Measures in Quantum Field Theory and Cosmology 
    Velhinho, J.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We show that measure theoretical results concerning the Ashtekar-Lewandowski measure in the space of generalized connections have direct analogues in the context of the Bohr compactification of the line and associated Haar ...
  • Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II 
    Yamane, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation. If |n| < 2t, we have decaying oscillation of order O(t⁻¹/²) as was proved in our previous paper. Near |n|=2t, ...

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