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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:

  • Calogero Model(s) and Deformed Oscillators 
    Milekovic, M.; Meljanac, S.; Samsarov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We briefly review some recent results concerning algebraical (oscillator) aspects of the N-body single-species and multispecies Calogero models in one dimension. We show how these models emerge from the matrix generalization ...
  • Cartan Connections and Lie Algebroids 
    Crampin, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006), ...
  • Cartan Connections on Lie Groupoids and their Integrability 
    Blaom, A.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    A multiplicatively closed, horizontal n-plane field D on a Lie groupoid G over M generalizes to intransitive geometry the classical notion of a Cartan connection. The infinitesimalization of the connection D is a Cartan ...
  • Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type 
    Vassiliou, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The Cauchy problem for harmonic maps from Minkowski space with its standard flat metric to a certain non-constant curvature Lorentzian 2-metric is studied. The target manifold is distinguished by the fact that the ...
  • Center of Twisted Graded Hecke Algebras for Homocyclic Groups 
    Gan, W.L.; Highfield, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We determine explicitly the center of the twisted graded Hecke algebras associated to homocyclic groups. Our results are a generalization of formulas by M. Douglas and B. Fiol in [J. High Energy Phys. 2005 (2005), no. 9, ...
  • Central Configurations and Mutual Differences 
    Ferrario, D.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Central configurations are solutions of the equations λmjqj=∂U/∂qj, where U denotes the potential function and each qj is a point in the d-dimensional Euclidean space E≅Rd, for j=1,…,n. We show that the vector of the mutual ...
  • Certain Integrals Arising from Ramanujan's Notebooks 
    Berndt, B.C.; Straub, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In his third notebook, Ramanujan claims the specific. In a following cryptic line, which only became visible in a recent reproduction of Ramanujan's notebooks, Ramanujan indicates that a similar relation exists if logx ...
  • Charges in Gauge Theories 
    McMullan, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Recent progress in the construction of both electric, coloured and magnetic charges in gauge theories will be presented. The topological properties of the charged sectors will be highlighted as well as the applications of ...
  • Check-Operators and Quantum Spectral Curves 
    Mironov, A.; Morozov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We review the basic properties of effective actions of families of theories (i.e., the actions depending on additional non-perturbative moduli along with perturbative couplings), and their description in terms of operators ...
  • C-Integrability Test for Discrete Equations via Multiple Scale Expansions 
    Scimiterna, C.; Levi, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper, we are extending the well-known integrability theorems obtained by multiple scale techniques to the case of linearizable difference equations. As an example, we apply the theory to the case of a differenti ...
  • CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae 
    van de Leur, J. W.; Orlov, A.Y.; Shiota, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. ...
  • 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 ...
  • Classical and Quantum Dilogarithm Identities 
    Kashaev, R.M.; Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Using the quantum cluster algebra formalism of Fock and Goncharov, we present several forms of quantum dilogarithm identities associated with periodicities in quantum cluster algebras, namely, the tropical, universal, and ...
  • Classical and Quantum Dynamics on Orbifolds 
    Kordyukov, Y.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds. The second one considers an orbifold as a singular manifold, the orbit ...
  • Classical and Quantum Superintegrability of Stäckel Systems 
    Błaszak, M.; Marciniak, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper we discuss maximal superintegrability of both classical and quantum Stäckel systems. We prove a sufficient condition for a flat or constant curvature Stäckel system to be maximally superintegrable. Further, ...
  • Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models 
    Kudryashov, V.V.; Kurochkin, Yu.A.; Ovsiyuk, E.M.; Red'kov, V.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in Euclidean space. In both ...
  • Classical R-Operators and Integrable Generalizations of Thirring Equations 
    Skrypnyk, T.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras gσ in different gradings and associated ''triangular'' R-operators. We consider the most interesting cases ...
  • Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings 
    Habibullin, I.; Poptsova, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The main goal of the article is testing a new classification algorithm. To this end we apply it to a relevant problem of describing the integrable cases of a subclass of two-dimensional lattices.
  • Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix 
    Bouarroudj, S.; Grozman, P.; Leites, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Finite dimensional modular Lie superalgebras over algebraically closed fields with indecomposable Cartan matrices are classified under some technical, most probably inessential, hypotheses. If the Cartan matrix is invertible, ...
  • Classification of Multidimensional Darboux Transformations: First Order and Continued Type 
    Hobby, D.; Shemyakova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We analyze Darboux transformations in very general settings for multidimensional linear partial differential operators. We consider all known types of Darboux transformations, and present a new type. We obtain a full ...

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