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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12 за датою випуску

Сортувати за: Порядок: Результатів:

  • Weighted Tensor Products of Joyal Species, Graphs, and Charades 
    Street, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Motivated by the weighted Hurwitz product on sequences in an algebra, we produce a family of monoidal structures on the category of Joyal species. We suggest a family of tensor products for charades. We begin by seeing ...
  • Classes of Bivariate Orthogonal Polynomials 
    Ismail, M.E.H.; Zhang, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We introduce a class of orthogonal polynomials in two variables which generalizes the disc polynomials and the 2-D Hermite polynomials. We identify certain interesting members of this class including a one variable ...
  • Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems 
    Tondo, G.; Tempesta, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In the context of the theory of symplectic-Haantjes manifolds, we construct the Haantjes structures of generalized Stäckel systems and, as a particular case, of the quasi-bi-Hamiltonian systems. As an application, we recover ...
  • On Some Quadratic Algebras I 1/2: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials 
    Kirillov, A.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study some combinatorial and algebraic properties of certain quadratic algebras related with dynamical classical and classical Yang-Baxter equations.
  • Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories 
    Cheng, T.; Huang, H.-L.; Yang, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    By viewing Clifford algebras as algebras in some suitable symmetric Gr-categories, Albuquerque and Majid were able to give a new derivation of some well known results about Clifford algebras and to generalize them. Along ...
  • Extended Cosmologies 
    Capozziello, S.; De Laurentis, M.F.; Fatibene, L.; Ferraris, M.; Garruto, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We shall discuss cosmological models in extended theories of gravitation. We shall define a surface, called the model surface, in the space of observable parameters which characterises families of theories. We also show ...
  • Doubling (Dual) Hahn Polynomials: Classification and Applications 
    Oste, R.; Van der Jeugt, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We classify all pairs of recurrence relations in which two Hahn or dual Hahn polynomials with different parameters appear. Such couples are referred to as (dual) Hahn doubles. The idea and interest comes from an example ...
  • Hom-Big Brackets: Theory and Applications 
    Cai, L.; Sheng, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In this paper, we introduce the notion of hom-big brackets, which is a generalization of Kosmann-Schwarzbach's big brackets. We show that it gives rise to a graded hom-Lie algebra. Thus, it is a useful tool to study ...
  • Initial Value Problems for Integrable Systems on a Semi-Strip 
    Sakhnovich, A.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Two important cases, where boundary conditions and solutions of the well-known integrable equations on a semi-strip are uniquely determined by the initial conditions, are rigorously studied in detail. First, the case of ...
  • Non-Associative Geometry of Quantum Tori 
    D'Andrea, F.; Franco, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We describe how to obtain the imprimitivity bimodules of the noncommutative torus from a ''principal bundle'' construction, where the total space is a quasi-associative deformation of a 3-dimensional Heisenberg manifold.
  • On the Chern-Gauss-Bonnet Theorem and Conformally Twisted Spectral Triples for C*-Dynamical Systems 
    Fathizadeh, F.; Gabriel, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The analog of the Chern-Gauss-Bonnet theorem is studied for a C∗-dynamical system consisting of a C∗-algebra A equipped with an ergodic action of a compact Lie group G. The structure of the Lie algebra g of G is used to ...
  • Orthogonal vs. Non-Orthogonal Reducibility of Matrix-Valued Measures 
    Koelink, E.; Román, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    A matrix-valued measure Θ reduces to measures of smaller size if there exists a constant invertible matrix M such that MΘM∗ is block diagonal. Equivalently, the real vector space A of all matrices T such that TΘ(X)=Θ(X)T∗ ...
  • 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 ...
  • Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem 
    Cariñena, J.F.; Rañada, M.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The existence of quasi-bi-Hamiltonian structures for the Kepler problem is studied. We first relate the superintegrability of the system with the existence of two complex functions endowed with very interesting Poisson ...
  • Rigid HYM Connections on Tautological Bundles over ALE Crepant Resolutions in Dimension Three 
    Degeratu, A.; Walpuski, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For G a finite subgroup of SL(3,C) acting freely on C³∖{0} a crepant resolution of the Calabi-Yau orbifold C³/G always exists and has the geometry of an ALE non-compact manifold. We show that the tautological bundles on ...
  • 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. ...
  • The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces 
    Chiba, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms ...
  • Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations 
    Martínez, C.; Piñar, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The purpose of this work is to analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes an additional term on the sphere. First, we will get connection formulas ...
  • Quantum Curve and the First Painlevé Equation 
    Iwaki, K.; Saenz, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that the topological recursion for the (semi-classical) spectral curve of the first Painlevé equation PI gives a WKB solution for the isomonodromy problem for PI. In other words, the isomonodromy system is a quantum ...
  • Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities 
    Szablikowski, B.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The Lax-Sato approach to the hierarchies of Manakov-Santini type is formalized in order to extend it to a more general class of integrable systems. For this purpose some linear operators are introduced, which must satisfy ...

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