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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Cluster Variables on Certain Double Bruhat Cells of Type (u,e) and Monomial Realizations of Crystal Bases of Type A 
    Kanakubo, Y.; Nakashima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Let G be a simply connected simple algebraic group over C, B and B− be two opposite Borel subgroups in G and W be the Weyl group. For u, v∈W, it is known that the coordinate ring C[Gu,v] of the double Bruhat cell Gu,v=BuB∩B−vB− ...
  • (Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces 
    Lorand, J.; Weinstein, А. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We give two equivalent sets of invariants which classify pairs of coisotropic subspaces of finite-dimensional Poisson vector spaces. For this it is convenient to dualize; we work with pairs of isotropic subspaces of ...
  • Computation of Composition Functions and Invariant Vector Fields in Terms of Structure Constants of Associated Lie Algebras 
    Magazev, A.A.; Mikheyev, V.V.; Shirokov, I.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Methods of construction of the composition function, left- and right-invariant vector fields and differential 1-forms of a Lie group from the structure constants of the associated Lie algebra are proposed. It is shown that ...
  • Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials 
    Grandati, Y.; Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We construct rational extensions of the Darboux-Pöschl-Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the initial potential, whereas the latter are ...
  • Constructing Involutive Tableaux with Guillemin Normal Form 
    Smith, A.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Involutivity is the algebraic property that guarantees solutions to an analytic and torsion-free exterior differential system or partial differential equation via the Cartan-Kähler theorem. Guillemin normal form establishes ...
  • Cyclic Homology and Quantum Orbits 
    Maszczyk, T.; Sütlü, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    A natural isomorphism between the cyclic object computing the relative cyclic homology of a homogeneous quotient-coalgebra-Galois extension, and the cyclic object computing the cyclic homology of a Galois coalgebra with ...
  • Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy 
    Chvartatskyi, O.; Sydorenko, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    New extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of (2+1)-dimensional integrable equations, including the DS-III equation and the N-wave ...
  • Differential Galois Theory and Lie Symmetries 
    Blázquez-Sanz, D.; Morales-Ruiz, J.J.; Jacques-Arthur Weil (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study the interplay between the differential Galois group and the Lie algebra of infinitesimal symmetries of systems of linear differential equations. We show that some symmetries can be seen as solutions of a hierarchy ...
  • D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization 
    Ali, S.T.; Bagarello, F.; Gazeau, J.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The D-pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group GL(2,C) of invertible 2×2 ...
  • Dynamics on Networks of Manifolds 
    DeVille, L.; Lerman, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We propose a precise definition of a continuous time dynamical system made up of interacting open subsystems. The interconnections of subsystems are coded by directed graphs. We prove that the appropriate maps of graphs ...
  • Dynamics on Wild Character Varieties 
    Paul, E.; Ramis, J.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In the present paper, we will first present briefly a general research program about the study of the ''natural dynamics'' on character varieties and wild character varieties. Afterwards, we will illustrate this program ...
  • Eigenvalue Estimates of the spinc Dirac Operator and Harmonic Forms on Kähler-Einstein Manifolds 
    Nakad, R.; Pilca, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We establish a lower bound for the eigenvalues of the Dirac operator defined on a compact Kähler-Einstein manifold of positive scalar curvature and endowed with particular spinc structures. The limiting case is characterized ...
  • Embeddings of the Racah Algebra into the Bannai-Ito Algebra 
    Genest, V.X.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Embeddings of the Racah algebra into the Bannai-Ito algebra are proposed in two realizations. First, quadratic combinations of the Bannai-Ito algebra generators in their standard realization on the space of polynomials are ...
  • Equivariant Join and Fusion of Noncommutative Algebras 
    Dąbrowski, L.; Hadfield, T.; Hajac, P.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We translate the concept of the join of topological spaces to the language of C∗-algebras, replace the C∗-algebra of functions on the interval [0,1] with evaluation maps at 0 and 1 by a unital C∗-algebra C with appropriate ...
  • Exact M-Theory Solutions, Integrable Systems, and Superalgebras 
    D'Hoker, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In this paper, an overview is presented of the recent construction of fully back-reacted half-BPS solutions in 11-dimensional supergravity which correspond to near-horizon geometries of M2 branes ending on, or intersecting ...
  • Examples of Complete Solvability of 2D Classical Superintegrable Systems 
    Chen, Y.; Kalnins, E.G.; Li, Q.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Classical (maximal) superintegrable systems in n dimensions are Hamiltonian systems with 2n−1 independent constants of the motion, globally defined, the maximum number possible. They are very special because they can be ...
  • Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System 
    Chanu, C.M.; Degiovanni, L.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The coupling-constant metamorphosis is applied to modified extended Hamiltonians and sufficient conditions are found in order that the transformed high-degree first integral of the transformed Hamiltonian is determined by ...
  • 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 ...
  • Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems 
    Barnsley, M.F.; Vince, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The fast basin of an attractor of an iterated function system (IFS) is the set of points in the domain of the IFS whose orbits under the associated semigroup intersect the attractor. Fast basins can have non-integer dimension ...
  • Fourier and Gegenbauer Expansions for a Fundamental Solution of Laplace's Equation in Hyperspherical Geometry 
    Cohl, H.S.; Palmer, R.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    For a fundamental solution of Laplace's equation on the R-radius d-dimensional hypersphere, we compute the azimuthal Fourier coefficients in closed form in two and three dimensions. We also compute the Gegenbauer polynomial ...

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