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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11 за датою випуску

Сортувати за: Порядок: Результатів:

  • Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras 
    Aizawa, N.; Chandrashekar, R.; Segar, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The conformal Galilei algebra (CGA) is a non-semisimple Lie algebra labelled by two parameters d and ℓ. The aim of the present work is to investigate the lowest weight representations of CGA with d=1 for any integer value ...
  • Galois Groups of Difference Equations of Order Two on Elliptic Curves 
    Dreyfus, T.; Roques, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    This paper is concerned with difference equations on elliptic curves. We establish some general properties of the difference Galois groups of equations of order two, and give applications to the calculation of some difference ...
  • Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type IV. The Relativistic Heun (van Diejen) Case 
    Simon N.M. Ruijsenaars (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The 'relativistic' Heun equation is an 8-coupling difference equation that generalizes the 4-coupling Heun differential equation. It can be viewed as the time-independent Schrödinger equation for an analytic difference ...
  • Local Properties of Measures in Quantum Field Theory and Cosmology 
    Velhinho, J.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We show that measure theoretical results concerning the Ashtekar-Lewandowski measure in the space of generalized connections have direct analogues in the context of the Bohr compactification of the line and associated Haar ...
  • On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra 
    Hattai, T.; Ito, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In [Kyushu J. Math. 64 (2010), 81-144], it is discussed that a certain subalgebra of the quantum affine algebra Uq(sl₂) controls the second kind TD-algebra of type I (the degenerate q-Onsager algebra). The subalgebra, which ...
  • Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres 
    Barbosa, V.S.; Menegatto, V.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an L²-positive definite and zonal kernel on the unit sphere of Cq in order that the ...
  • 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 ...
  • Bosonizations of sl₂ and Integrable Hierarchies 
    Bakalov, B.; Fleisher, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We construct embeddings of sl₂ in lattice vertex algebras by composing the Wakimoto realization with the Friedan-Martinec-Shenker bosonization. The Kac-Wakimoto hierarchy then gives rise to two new hierarchies of integrable, ...
  • Irreducible Generic Gelfand-Tsetlin Modules of gl(n) 
    Futorny, V.; Grantcharov, D.; Ramirez, L.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand-Tsetlin modules for the Lie algebra gl(n).
  • Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities 
    Adamović, D.; Lin, X.; Milas, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We consider AD-type orbifolds of the triplet vertex algebras W(p) extending the well-known c=1 orbifolds of lattice vertex algebras. We study the structure of Zhu's algebras A(W(p)Am) and A(W(p)Dm), where Am and Dm are ...
  • Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules 
    Coulembier, K.; Mazorchuk, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We prove that the categories of Gelfand-Zeitlin modules of g=gln and Whittaker modules associated with a semi-simple complex finite-dimensional algebra g are extension full in the category of all g-modules. This is used ...
  • Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables 
    Fritzsche, B.; Kirstein, B.; Roitberg, I.Y.; Sakhnovich, A.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schrödinger equations depending on two variables and of nonlinear wave equations depending on three variables.
  • Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic 
    Wang, J.; Heckenberger, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The paper introduces a new method to determine all rank two Nichols algebras of diagonal type over fields of positive characteristic.
  • Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II 
    Yamane, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation. If |n| < 2t, we have decaying oscillation of order O(t⁻¹/²) as was proved in our previous paper. Near |n|=2t, ...
  • The Quantum Pair of Pants 
    Klimek, S.; Mcbride, M.; Rathnayake, S.; Sakai, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We compute the spectrum of the operator of multiplication by the complex coordinate in a Hilbert space of holomorphic functions on a disk with two circular holes. Additionally we determine the structure of the C∗-algebra ...
  • Schur Superpolynomials: Combinatorial Definition and Pieri Rule 
    Blondeau-Fournier, O.; Mathieu, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Schur superpolynomials have been introduced recently as limiting cases of the Macdonald superpolynomials. It turns out that there are two natural super-extensions of the Schur polynomials: in the limit q=t=0 and q=t→∞, ...
  • Ambiguities in a Problem in Planar Geodesy 
    Schicho, J.; Gallet, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    This is a study of a problem in geodesy with methods from complex algebraic geometry: for a fixed number of measure points and target points at unknown position in the Euclidean plane, we study the problem of determining ...
  • Three-Phase Freak Waves 
    Smirnov, A.O.; Matveenko, S.G.; Semenov, S.K.; Semenova, E.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic ''freak waves''. We ...
  • Invariant Classification and Limits of Maximally Superintegrable Systems in 3D 
    Capel, J.J.; Kress, J.M.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The invariant classification of superintegrable systems is reviewed and utilized to construct singular limits between the systems. It is shown, by construction, that all superintegrable systems on conformally flat, 3D ...
  • Geometry of Centroaffine Surfaces in R⁵ 
    Bushek, N.; Clelland, J.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R⁵∖{0} with nondegenerate centroaffine metric. We then give a complete ...

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