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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • (D+1)-Colored Graphs - a Review of Sundry Properties 
    Ryan, J.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We review the combinatorial, topological, algebraic and metric properties supported by (D+1)-colored graphs, with a focus on those that are pertinent to the study of tensor model theories. We show how to extract a limiting ...
  • 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 ...
  • Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation 
    Schlosser, M.J.; Yoo, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We use elliptic Taylor series expansions and interpolation to deduce a number of summations for elliptic hypergeometric series. We extend to the well-poised elliptic case results that in the q-case have previously been ...
  • Exact Renormalisation Group Equations and Loop Equations for Tensor Models 
    Krajewski, T.; Toriumi, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In this paper, we review some general formulations of exact renormalisation group equations and loop equations for tensor models and tensorial group field theories. We illustrate the use of these equations in the derivation ...
  • Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients 
    Stella, S.; Tumarkin, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We give an explicit description of all the exchange relations in any finite type cluster algebra with acyclic initial seed and principal coefficients.
  • 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 ...
  • Fixed Point Algebras for Easy Quantum Groups 
    Gabriel, O.; Weber, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Compact matrix quantum groups act naturally on Cuntz algebras. The first author isolated certain conditions under which the fixed point algebras under this action are Kirchberg algebras. Hence they are completely determined ...
  • Flat (2,3,5)-Distributions and Chazy's Equations 
    Randall, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    n the geometry of generic 2-plane fields on 5-manifolds, the local equivalence problem was solved by Cartan who also constructed the fundamental curvature invariant. For generic 2-plane fields or (2,3,5)-distributions ...
  • Flowing in Group Field Theory Space: a Review 
    Carrozza, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models ...
  • From Conformal Group to Symmetries of Hypergeometric Type Equations 
    Dereziński, J.; Majewski, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that properties of hypergeometric type equations become transparent if they are derived from appropriate 2nd order partial differential equations with constant coefficients. In particular, we deduce the symmetries ...
  • From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation 
    Chicherin, D.; Derkachov, S.E.; Spiridonov, V.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We start from known solutions of the Yang-Baxter equation with a spectral parameter defined on the tensor product of two infinite-dimensional principal series representations of the group SL(2,C) or Faddeev's modular double. ...
  • Further Properties and Applications of Koszul Pairs 
    Manea, A.; Ştefan, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Koszul pairs were introduced in [arXiv:1011.4243] as an instrument for the study of Koszul rings. In this paper, we continue the enquiry of such pairs, focusing on the description of the second component, as a follow-up ...
  • 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 ...
  • Generalized Stieltjes Transforms of Compactly-Supported Probability Distributions: Further Examples 
    Demni, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For two families of beta distributions, we show that the generalized Stieltjes transforms of their elements may be written as elementary functions (powers and fractions) of the Stieltjes transform of the Wigner distribution. ...
  • Geometric Monodromy around the Tropical Limit 
    Yamamoto, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Let {Vq}q be a complex one-parameter family of smooth hypersurfaces in a toric variety. In this paper, we give a concrete description of the monodromy transformation of {Vq}q around q=∞ in terms of tropical geometry. The ...
  • Geometry of G-Structures via the Intrinsic Torsion 
    Niedziałomski, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the geometry of a G-structure P inside the oriented orthonormal frame bundle SO(M) over an oriented Riemannian manifold M. We assume that G is connected and closed, so the quotient SO(n)/G, where n=dimM, is a ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Hypergeometric Differential Equation and New Identities for the Coefficients of Nørlund and Bühring 
    Karp, D.; Prilepkina, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The fundamental set of solutions of the generalized hypergeometric differential equation in the neighborhood of unity has been built by Nørlund in 1955. The behavior of the generalized hypergeometric function in the ...

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