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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Gauge Theories on Deformed Spaces 
    Blaschke, D.N.; Kronberger, E.; René I.P. Sedmik; Wohlgenannt, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The aim of this review is to present an overview over available models and approaches to non-commutative gauge theory. Our main focus thereby is on gauge models formulated on flat Groenewold-Moyal spaces and renormalizability, ...
  • Geodesic Reduction via Frame Bundle Geometry 
    Bhand, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    A manifold with an arbitrary affine connection is considered and the geodesic spray associated with the connection is studied in the presence of a Lie group action. In particular, results are obtained that provide insight ...
  • Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry 
    Franco, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Connes' noncommutative Riemannian distance formula is constructed in two steps, the first one being the construction of a path-independent geometrical functional using a global constraint on continuous functions. This paper ...
  • Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions 
    Chatzistavrakidis, A.; Zoupanos, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Theories defined in higher than four dimensions have been used in various frameworks and have a long and interesting history. Here we review certain attempts, developed over the last years, towards the construction of ...
  • Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves 
    England, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We develop the theory of Abelian functions associated with cyclic trigonal curves by considering two new cases. We investigate curves of genus six and seven and consider whether it is the trigonal nature or the genus which ...
  • Hopf Maps, Lowest Landau Level, and Fuzzy Spheres 
    Hasebe, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and their mutual relations. The Hopf maps of division algebras provide a prototype relation between monopoles and fuzzy spheres. Generalization of ...
  • Horizontal Forms of Chern Type on Complex Finsler Bundles 
    Ida, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The aim of this paper is to construct horizontal Chern forms of a holomorphic vector bundle using complex Finsler structures. Also, some properties of these forms are studied.
  • Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ 
    Nakazono, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We consider a q-Painlevé III equation and a q-Painlevé II equation arising from a birational representation of the affine Weyl group of type (A₂+A₁)⁽¹⁾. We study their hypergeometric solutions on the level of τ functions.
  • Integral calculus on Eq(2) 
    Brzeziński, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The complexes of integral forms on the quantum Euclidean group Eq(2) and the quantum plane are defined and their isomorphisms with the corresponding de Rham complexes are established.
  • Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them 
    Roffelsen, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study the Yablonskii-Vorob'ev polynomials, which are special polynomials used to represent rational solutions of the second Painlevé equation. Divisibility properties of the coefficients of these polynomials, concerning ...
  • Jordan-Schwinger Representations and Factorised Yang-Baxter Operators 
    Karakhanyan, D.; Kirschner, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The construction elements of the factorised form of the Yang-Baxter R operator acting on generic representations of q-deformed sl(n+1) are studied. We rely on the iterative construction of such representations by the ...
  • Junction Type Representations of the Temperley-Lieb Algebra and Associated Symmetries 
    Doikou, A.; Karaiskos, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Inspired by earlier works on representations of the Temperley-Lieb algebra we introduce a novel family of representations of the algebra. This may be seen as a generalization of the so called asymmetric twin representation. ...
  • Krein Spaces in de Sitter Quantum Theories 
    Gazeau, J.P.; Siegl, P.; Youssef, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group SO0(1,4) or Sp(2,2) as an appealing substitute to the flat space-time Poincaré relativity. ...
  • Level Set Structure of an Integrable Cellular Automaton 
    Takagi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Based on a group theoretical setting a sort of discrete dynamical system is constructed and applied to a combinatorial dynamical system defined on the set of certain Bethe ansatz related objects known as the rigged ...
  • Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations 
    Nakpim, W.; Meleshko, S.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The linearization problem of a second-order ordinary differential equation by the generalized Sundman transformation was considered earlier by Duarte, Moreira and Santos using the Laguerre form. The results obtained in the ...
  • Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons 
    Bekaert, X.; Grigoriev, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The usual ambient space approach to conformal fields is based on identifying the d-dimensional conformal space as the Dirac projective hypercone in a flat d+2-dimensional ambient space. In this work, we explicitly concentrate ...
  • Measure Theory in Noncommutative Spaces 
    Lord, S.; Sukochev, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The integral in noncommutative geometry (NCG) involves a non-standard trace called a Dixmier trace. The geometric origins of this integral are well known. From a measure-theoretic view, however, the formulation contains ...
  • Modularity, Atomicity and States in Archimedean Lattice Effect Algebras 
    Paseka, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Effect algebras are a generalization of many structures which arise in quantum physics and in mathematical economics. We show that, in every modular Archimedean atomic lattice effect algebra E that is not an orthomodular ...
  • Modular Theory, Non-Commutative Geometry and Quantum Gravity 
    Bertozzini, P.; Conti, R.; Lewkeeratiyutkul, W, (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A. Connes non-commutative geometry aiming at the ...
  • Monomial Crystals and Partition Crystals 
    Tingley, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(Λ₀) for sln, where the vertices are indexed by certain partitions. He showed that special cases of this construction agree ...

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