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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities 
    Adamović, D.; Lin, X.; Milas, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We consider AD-type orbifolds of the triplet vertex algebras W(p) extending the well-known c=1 orbifolds of lattice vertex algebras. We study the structure of Zhu's algebras A(W(p)Am) and A(W(p)Dm), where Am and Dm are ...
  • Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules 
    Coulembier, K.; Mazorchuk, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We prove that the categories of Gelfand-Zeitlin modules of g=gln and Whittaker modules associated with a semi-simple complex finite-dimensional algebra g are extension full in the category of all g-modules. This is used ...
  • 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.
  • Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic 
    Wang, J.; Heckenberger, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The paper introduces a new method to determine all rank two Nichols algebras of diagonal type over fields of positive characteristic.
  • 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, ...
  • The Quantum Pair of Pants 
    Klimek, S.; Mcbride, M.; Rathnayake, S.; Sakai, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We compute the spectrum of the operator of multiplication by the complex coordinate in a Hilbert space of holomorphic functions on a disk with two circular holes. Additionally we determine the structure of the C∗-algebra ...
  • Schur Superpolynomials: Combinatorial Definition and Pieri Rule 
    Blondeau-Fournier, O.; Mathieu, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Schur superpolynomials have been introduced recently as limiting cases of the Macdonald superpolynomials. It turns out that there are two natural super-extensions of the Schur polynomials: in the limit q=t=0 and q=t→∞, ...
  • A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian 
    Rösler, M.; Voit, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We consider compact Grassmann manifolds G/K over the real, complex or quaternionic numbers whose spherical functions are Heckman-Opdam polynomials of type BC. From an explicit integral representation of these polynomials ...
  • 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 ...
  • Dynamics on Networks of Manifolds 
    DeVille, L.; Lerman, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We propose a precise definition of a continuous time dynamical system made up of interacting open subsystems. The interconnections of subsystems are coded by directed graphs. We prove that the appropriate maps of graphs ...
  • 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 ...
  • Fourier and Gegenbauer Expansions for a Fundamental Solution of Laplace's Equation in Hyperspherical Geometry 
    Cohl, H.S.; Palmer, R.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    For a fundamental solution of Laplace's equation on the R-radius d-dimensional hypersphere, we compute the azimuthal Fourier coefficients in closed form in two and three dimensions. We also compute the Gegenbauer polynomial ...
  • The Feigin Tetrahedron 
    Rupel, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The first goal of this note is to extend the well-known Feigin homomorphisms taking quantum groups to quantum polynomial algebras. More precisely, we define generalized Feigin homomorphisms from a quantum shuffle algebra ...
  • 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 ...
  • 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 ...
  • An Integrability Condition for Simple Lie Groups II 
    Min-Oo, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    It is shown that a simple Lie group G (≠SL₂) can be locally characterised by an integrability condition on an Aut(g) structure on the tangent bundle, where Aut(g) is the automorphism group of the Lie algebra of G. The ...
  • 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.
  • Three-Phase Freak Waves 
    Smirnov, A.O.; Matveenko, S.G.; Semenov, S.K.; Semenova, E.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic ''freak waves''. We ...
  • Cluster Variables on Certain Double Bruhat Cells of Type (u,e) and Monomial Realizations of Crystal Bases of Type A 
    Kanakubo, Y.; Nakashima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Let G be a simply connected simple algebraic group over C, B and B− be two opposite Borel subgroups in G and W be the Weyl group. For u, v∈W, it is known that the coordinate ring C[Gu,v] of the double Bruhat cell Gu,v=BuB∩B−vB− ...
  • 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).

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