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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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, ...
  • Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras 
    Aizawa, N.; Chandrashekar, R.; Segar, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The conformal Galilei algebra (CGA) is a non-semisimple Lie algebra labelled by two parameters d and ℓ. The aim of the present work is to investigate the lowest weight representations of CGA with d=1 for any integer value ...
  • Metaplectic-c Quantomorphisms 
    Vaughan, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In the classical Kostant-Souriau prequantization procedure, the Poisson algebra of a symplectic manifold (M,ω) is realized as the space of infinitesimal quantomorphisms of the prequantization circle bundle. Robinson and ...
  • Modular Classes of Lie Groupoid Representations up to Homotopy 
    Mehta, R.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We describe a construction of the modular class associated to a representation up to homotopy of a Lie groupoid. In the case of the adjoint representation up to homotopy, this class is the obstruction to the existence of ...
  • Moments and Legendre-Fourier Series for Measures Supported on Curves 
    Lasserre, J.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Some important problems (e.g., in optimal transport and optimal control) have a relaxed (or weak) formulation in a space of appropriate measures which is much easier to solve. However, an optimal solution μ of the latter ...
  • Monge-Ampère Systems with Lagrangian Pairs 
    Ishikawa, G.; Machida, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The classes of Monge-Ampère systems, decomposable and bi-decomposable Monge-Ampère systems, including equations for improper affine spheres and hypersurfaces of constant Gauss-Kronecker curvature are introduced. They are ...
  • Multispecies Weighted Hurwitz Numbers 
    Harnad, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The construction of hypergeometric 2D Toda τ-functions as generating functions for weighted Hurwitz numbers is extended to multispecies families. Both the enumerative geometrical significance of multispecies weighted Hurwitz ...
  • Non-Compact Symplectic Toric Manifolds 
    Karshon, Y.; Lerman, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    A key result in equivariant symplectic geometry is Delzant's classification of compact connected symplectic toric manifolds. The moment map induces an embedding of the quotient of the manifold by the torus action into the ...

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