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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:

  • Polynomial Relations for q-Characters via the ODE/IM Correspondence 
    Sun, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Let Uq(b) be the Borel subalgebra of a quantum affine algebra of type X⁽¹⁾n (X=A,B,C,D). Guided by the ODE/IM correspondence in quantum integrable models, we propose conjectural polynomial relations among the q-characters ...
  • Polynomials Associated with Dihedral Groups 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra ...
  • Polynomial Sequences Associated with the Moments of Hypergeometric Weights 
    Dominici, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We present some families of polynomials related to the moments of weight functions of hypergeometric type. We also consider different types of generating functions, and give several examples.
  • Populations of Solutions to Cyclotomic Bethe Equations 
    Varchenko, A.; Young, C.A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study solutions of the Bethe Ansatz equations for the cyclotomic Gaudin model of [Vicedo B., Young C.A.S., arXiv:1409.6937]. We give two interpretations of such solutions: as critical points of a cyclotomic master ...
  • Positive Definite Functions on Complex Spheres and their Walks through Dimensions 
    Massa, E.; Peron, A.P.; Porcu, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We provide walks through dimensions for isotropic positive definite functions defined over complex spheres. We show that the analogues of Montée and Descente operators as proposed by Beatson and zu Castell [J. Approx. ...
  • Post-Lie Algebras and Isospectral Flows 
    Ebrahimi-Fard, K.; Lundervold, A.; Mencattini, I.; Munthe-Kaas, H.Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution ...
  • Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions 
    Langowski, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We apply a symmetrization procedure to the setting of Jacobi expansions and study potential spaces in the resulting situation. We prove that the potential spaces of integer orders are isomorphic to suitably defined Sobolev ...
  • Potentials Unbounded Below 
    Curtright, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Continuous interpolates are described for classical dynamical systems defined by discrete time-steps. Functional conjugation methods play a central role in obtaining the interpolations. The interpolates correspond to ...
  • Precise Deviations Results for the Maxima of Some Determinantal Point Processes: the Upper Tail 
    Eichelsbacher, P.; Kriecherbauer, T.; Schüler, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We prove precise deviations results in the sense of Cramér and Petrov for the upper tail of the distribution of the maximal value for a special class of determinantal point processes that play an important role in random ...
  • Preon Model and Family Replicated E₆ Unification 
    Das, C.R.; Laperashvili, L.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Previously we suggested a new preon model of composite quark-leptons and bosons with the 'flipped' E₆ × ˜E₆ gauge symmetry group. We assumed that preons are dyons having both hyper-electric g and hyper-magnetic ˜g charges, ...
  • Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies 
    Krepski, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Using the framework of quasi-Hamiltonian actions, we compute the obstruction to prequantization for the moduli space of flat PU(p)-bundles over a compact orientable surface with prescribed holonomies around boundary ...
  • Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras 
    Fuchs, D.; Wilmarth, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl2 (Theorem 3). The ...
  • Projective Metrizability and Formal Integrability 
    Bucataru, I.; Muzsnay, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The projective metrizability problem can be formulated as follows: under what conditions the geodesics of a given spray coincide with the geodesics of some Finsler space, as oriented curves. In Theorem 3.8 we reformulate ...
  • Prolongation Loop Algebras for a Solitonic System of Equations 
    Agrotis, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider an integrable system of reduced Maxwell-Bloch equations that describes the evolution of an electromagnetic field in a two-level medium that is inhomogeneously broadened. We prove that the relevant Bäcklund ...
  • Properties of Matrix Orthogonal Polynomials via their Riemann-Hilbert Characterization 
    Grünbaum, F.A.; de la Iglesia, M.D.; Martínez-Finkelshtein, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give a Riemann-Hilbert approach to the theory of matrix orthogonal polynomials. We will focus on the algebraic aspects of the problem, obtaining difference and differential relations satisfied by the corresponding ...
  • Properties of the Exceptional (Xl) Laguerre and Jacobi Polynomials 
    Ho, C.; Odake, S.; Sasaki, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We present various results on the properties of the four infinite sets of the exceptional Xl polynomials discovered recently by Odake and Sasaki [Phys. Lett. B 679 (2009), 414-417; Phys. Lett. B 684 (2010), 173-176]. These ...
  • Pseudo-Bosons from Landau Levels 
    Bagarello, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct examples of pseudo-bosons in two dimensions arising from the Hamiltonian for the Landau levels. We also prove a no-go result showing that non-linear combinations of bosonic creation and annihilation operators ...
  • Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables 
    Fritzsche, B.; Kirstein, B.; Roitberg, I.Y.; Sakhnovich, A.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schrödinger equations depending on two variables and of nonlinear wave equations depending on three variables.
  • PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues 
    Caliceti, E.; Cannata, F.; Graffi, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We prove the reality of the perturbed eigenvalues of some PT symmetric Hamiltonians of physical interest by means of stability methods. In particular we study 2-dimensional generalized harmonic oscillators with polynomial ...
  • PT Symmetry and QCD: Finite Temperature and Density 
    Ogilvie, M.C.; Meisinger, P.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two significant problems in QCD are studied: the sign ...

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