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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:

  • James' Submodule Theorem and the Steinberg Module 
    Geck, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    James' submodule theorem is a fundamental result in the representation theory of the symmetric groups and the finite general linear groups. In this note we consider a version of that theorem for a general finite group with ...
  • 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. ...
  • Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications 
    Komori, Y.; Noumi, M.; Shiraishi, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials ...
  • Klein's Fundamental 2-Form of Second Kind for the Cab Curves 
    Suzuki, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, we derive the exact formula of Klein's fundamental 2-form of second kind for the so-called Cab curves. The problem was initially solved by Klein in the 19th century for the hyper-elliptic curves, but little ...
  • Klein Topological Field Theories from Group Representations 
    Loktev, S.A.; Natanzon, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers. We relate the 1-point correlator for the ...
  • KP Trigonometric Solitons and an Adelic Flag Manifold 
    Haine, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that the trigonometric solitons of the KP hierarchy enjoy a differential-difference bispectral property, which becomes transparent when translated on two suitable spaces of pairs of matrices satisfying certain rank ...
  • 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. ...
  • KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians 
    Mukhin, E.; Tarasov, T.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We discuss a relation between the characteristic variety of the KZ equations and the zero set of the classical Calogero-Moser Hamiltonians.
  • Ladder Operators for Lamé Spheroconal Harmonic Polynomials 
    Méndez-Fragoso, R.; Ley-Koo, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Three sets of ladder operators in spheroconal coordinates and their respective actions on Lamé spheroconal harmonic polynomials are presented in this article. The polynomials are common eigenfunctions of the square of the ...
  • Ladder Operators for Quantum Systems Confined by Dihedral Angles 
    Ley-Koo, E.; Sun, G.-H. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We report the identification and construction of raising and lowering operators for the complete eigenfunctions of isotropic harmonic oscillators confined by dihedral angles, in circular cylindrical and spherical coordinates; ...
  • Lagrange Anchor and Characteristic Symmetries of Free Massless Fields 
    Kaparulin, D.S.; Lyakhovich, S.L.; Sharapov, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A Poincaré covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s>1/2 in four-dimensional Minkowski space. By making use of ...
  • Lagrangian Approach to Dispersionless KdV Hierarchy 
    Choudhuri, A.; Talukdar, B.; Das, U. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We derive a Lagrangian based approach to study the compatible Hamiltonian structure of the dispersionless KdV and supersymmetric KdV hierarchies and claim that our treatment of the problem serves as a very useful supplement ...
  • Lagrangian Mechanics and Reduction on Fibered Manifolds 
    Li, S.; Stern, A.; Tang, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This paper develops a generalized formulation of Lagrangian mechanics on fibered manifolds, together with a reduction theory for symmetries corresponding to Lie groupoid actions. As special cases, this theory includes not ...
  • Lagrangian Reduction on Homogeneous Spaces with Advected Parameters 
    Vizman, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study the Euler-Lagrange equations for a parameter dependent G-invariant Lagrangian on a homogeneous G-space. We consider the pullback of the parameter dependent Lagrangian to the Lie group G, emphasizing the special ...
  • Large-j Expansion Method for Two-Body Dirac Equation 
    Duviryak, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    By using symmetry properties, the two-body Dirac equation in coordinate representation is reduced to the coupled pair of radial second-order differential equations. Then the large-j expansion technique is used to solve a ...
  • Large N Limits in Tensor Models: Towards More Universality Classes of Colored Triangulations in Dimension d ≥ 2 
    Bonzom, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We review an approach which aims at studying discrete (pseudo-)manifolds in dimension d≥2 and called random tensor models. More specifically, we insist on generalizing the two-dimensional notion of p-angulations to higher ...
  • Lattice Field Theory with the Sign Problem and the Maximum Entropy Method 
    Imachi, M.; Shinno, Y.; Yoneyama, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Although numerical simulation in lattice field theory is one of the most effective tools to study non-perturbative properties of field theories, it faces serious obstacles coming from the sign problem in some theories such ...
  • Laurent Polynomials and Superintegrable Maps 
    Hone, A.N.W. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This article is dedicated to the memory of Vadim Kuznetsov, and begins with some of the author's recollections of him. Thereafter, a brief review of Somos sequences is provided, with particular focus being made on the ...
  • Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces 
    Hentosh, O.Ye. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We obtain via Bäcklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra of super-integral-differential operators of one anticommuting ...

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