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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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Non-Integrability of Some Higher-Order Painlevé Equations in the Sense of Liouville 
    Christov, O.; Georgiev, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In this paper we study the equation w⁽⁴⁾=5w′′(w²−w′)+5w(w′)²−⁵+(λz+α)w+γ, which is one of the higher-order Painlevé equations (i.e., equations in the polynomial class having the Painlevé property). Like the classical ...
  • Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution 
    Bibilo, Y.; Filipuk, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The paper is devoted to non-Schlesinger isomonodromic deformations for resonant Fuchsian systems. There are very few explicit examples of such deformations in the literature. In this paper we construct a new example of the ...
  • On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra 
    Hattai, T.; Ito, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In [Kyushu J. Math. 64 (2010), 81-144], it is discussed that a certain subalgebra of the quantum affine algebra Uq(sl₂) controls the second kind TD-algebra of type I (the degenerate q-Onsager algebra). The subalgebra, which ...
  • On a Quantization of the Classical θ-Functions 
    Brezhnev, Y.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The Jacobi theta-functions admit a definition through the autonomous differential equations (dynamical system); not only through the famous Fourier theta-series. We study this system in the framework of Hamiltonian dynamics ...
  • On Integrable Perturbations of Some Nonholonomic Systems 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Integrable perturbations of the nonholonomic Suslov, Veselova, Chaplygin and Heisenberg problems are discussed in the framework of the classical Bertrand-Darboux method. We study the relations between the Bertrand-Darboux ...
  • On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces 
    Bertrand, S.; Grundland, A.M.; Hariton, A.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The paper presents the bosonic and fermionic supersymmetric extensions of the structural equations describing conformally parametrized surfaces immersed in a Grasmann superspace, based on the authors' earlier results. A ...
  • On the Killing form of Lie Algebras in Symmetric Ribbon Categories 
    Buchberger, I.; Fuchs, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form. The proper categorical setting for discussing these issues are symmetric ribbon categories.
  • On the q-Charlier Multiple Orthogonal Polynomials 
    Arvesú, J.; Ramírez-Aberasturis, A.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We introduce a new family of special functions, namely q-Charlier multiple orthogonal polynomials. These polynomials are orthogonal with respect to q-analogues of Poisson distributions. We focus our attention on their ...
  • On the Relationship between Two Notions of Compatibility for Bi-Hamiltonian Systems 
    Santoprete, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Bi-Hamiltonian structures are of great importance in the theory of integrable Hamiltonian systems. The notion of compatibility of symplectic structures is a key aspect of bi-Hamiltonian systems. Because of this, a few ...

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