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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • A Duflo Star Product for Poisson Groups 
    Brochier, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Let G be a finite-dimensional Poisson algebraic, Lie or formal group. We show that the center of the quantization of G provided by an Etingof-Kazhdan functor is isomorphic as an algebra to the Poisson center of the algebra ...
  • A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank 
    Fu, Y.; Shelley-Abrahamson, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We give explicit constructions of some finite-dimensional representations of generalized double affine Hecke algebras (GDAHA) of higher rank using R-matrices for Uq(slN). Our construction is motivated by an analogous ...
  • A Geometric Characterization of Certain First Integrals for Nonholonomic Systems with Symmetries 
    Balseiro, P.; Sansonetto, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the existence of first integrals in nonholonomic systems with symmetry. First we define the concept of M-cotangent lift of a vector field on a manifold Q in order to unify the works [Balseiro P., Arch. Ration. ...
  • A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres 
    Chapling, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider Poisson's equation on the n-dimensional sphere in the situation where the inhomogeneous term has zero integral. Using a number of classical and modern hypergeometric identities, we integrate this equation to ...
  • An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles 
    Lubinsky, D.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We survey the current status of universality limits for m-point correlation functions in the bulk and at the edge for unitary ensembles, primarily when the limiting kernels are Airy, Bessel, or Sine kernels. In particular, ...
  • Are Orthogonal Separable Coordinates Really Classified? 
    Schöbel, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We prove that the set of orthogonal separable coordinates on an arbitrary (pseudo-)Riemannian manifold carries a natural structure of a projective variety, equipped with an action of the isometry group. This leads us to ...
  • A Riemann-Hilbert Approach for the Novikov Equation 
    Boutet de Monvel, A.; Shepelsky, D.; Zielinski, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We develop the inverse scattering transform method for the Novikov equation ut−utxx+4u²ux=3uuxuxx+u²uxxx considered on the line x∈(−∞,∞) in the case of non-zero constant background. The approach is based on the analysis ...
  • A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System 
    Görbe, T.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We use Hamiltonian reduction to simplify Falqui and Mencattini's recent proof of Sklyanin's expression providing spectral Darboux coordinates of the rational Calogero-Moser system. This viewpoint enables us to verify a ...
  • Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials 
    Horozov, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We construct new families of vector orthogonal polynomials that have the property to be eigenfunctions of some differential operator. They are extensions of the Hermite and Laguerre polynomial systems. A third family, whose ...
  • Automorphisms of C* Moduli Spaces Associated to a Riemann Surface 
    Baraglia, D.; Biswas, I.; Schaposnik, L.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We compute the automorphism groups of the Dolbeault, de Rham and Betti moduli spaces for the multiplicative group C∗ associated to a compact connected Riemann surface.
  • A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles 
    Kuijlaars, A.B.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The Muttalib-Borodin biorthogonal ensemble is a joint density function for n particles on the positive real line that depends on a parameter θ. There is an equilibrium problem that describes the large n behavior. We show ...
  • Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart 
    Carillo, S.; Lo Schiavo, M.; Schiebold, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Classes of third order non-Abelian evolution equations linked to that of Korteweg-de Vries-type are investigated and their connections represented in a non-commutative Bäcklund chart, generalizing results in [Fuchssteiner ...
  • Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball 
    Berceanu, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We determine the matrix of the balanced metric of the Siegel-Jacobi ball and its inverse. We calculate the scalar curvature, the Ricci form and the Laplace-Beltrami operator of this manifold. We discuss several geometric ...
  • Basic Forms and Orbit Spaces: a Diffeological Approach 
    Karshon, Y.; Watts, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    If a Lie group acts on a manifold freely and properly, pulling back by the quotient map gives an isomorphism between the differential forms on the quotient manifold and the basic differential forms upstairs. We show that ...
  • Bipolar Lawson Tau-Surfaces and Generalized Lawson Tau-Surfaces 
    Causley, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Recently Penskoi [J. Geom. Anal. 25 (2015), 2645-2666, arXiv:1308.1628] generalized the well known two-parametric family of Lawson tau-surfaces τr,m minimally immersed in spheres to a three-parametric family Ta,b,c of tori ...
  • Bôcher Contractions of Conformally Superintegrable Laplace Equations 
    Kalnins, E.G.; Miller Jr., Willard; Subag, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The explicit solvability of quantum superintegrable systems is due to symmetry, but the symmetry is often ''hidden''. The symmetry generators of 2nd order superintegrable systems in 2 dimensions close under commutation to ...
  • Born-Jordan and Weyl Quantizations of the 2D Anisotropic Harmonic Oscillator 
    Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We apply the Born-Jordan and Weyl quantization formulas for polynomials in canonical coordinates to the constants of motion of some examples of the superintegrable 2D anisotropic harmonic oscillator. Our aim is to study ...
  • Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories 
    Tanimoto, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider scalar two-dimensional quantum field theories with a factorizing S-matrix which has poles in the physical strip. In our previous work, we introduced the bound state operators and constructed candidate operators ...
  • Bruhat Order in the Full Symmetric sln Toda Lattice on Partial Flag Space 
    Chernyakov, Y.B.; Sharygin, G.I.; Sorin, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In our previous paper [Comm. Math. Phys. 330 (2014), 367-399] we described the asymptotic behaviour of trajectories of the full symmetric sln Toda lattice in the case of distinct eigenvalues of the Lax matrix. It turned ...
  • Cartan Connections on Lie Groupoids and their Integrability 
    Blaom, A.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    A multiplicatively closed, horizontal n-plane field D on a Lie groupoid G over M generalizes to intransitive geometry the classical notion of a Cartan connection. The infinitesimalization of the connection D is a Cartan ...

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