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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:

  • 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 ...
  • Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators 
    Koornwinder, T.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    For each of the eight n-th derivative parameter changing formulas for Gauss hypergeometric functions a corresponding fractional integration formula is given. For both types of formulas the differential or integral operator ...
  • From Jack to Double Jack Polynomials via the Supersymmetric Bridge 
    Lapointe, L.; Mathieu, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The Calogero-Sutherland model occurs in a large number of physical contexts, either directly or via its eigenfunctions, the Jack polynomials. The supersymmetric counterpart of this model, although much less ubiquitous, has ...
  • From Polygons to Ultradiscrete Painlevé Equations 
    Ormerod, C.M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The rays of tropical genus one curves are constrained in a way that defines a bounded polygon. When we relax this constraint, the resulting curves do not close, giving rise to a system of spiraling polygons. The piecewise ...
  • From Twisted Quantum Loop Algebras to Twisted Yangians 
    Conner, P.; Guay, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We prove how the Yangian of glN in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra ...
  • 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 ...
  • General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners 
    Díaz-Marín, H.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We propose a general reduction procedure for classical field theories provided with abelian gauge symmetries in a Lagrangian setting. These ideas come from an axiomatic presentation of the general boundary formulation (GBF) ...
  • 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 ...
  • 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 ...
  • GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors 
    Pakuliak, S.; Ragoucy, E.; Slavnov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the GL(3)-based quantum ...
  • GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators 
    Pakuliak, S.; Ragoucy, E.; Slavnov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the total monodromy matrix of the model is presented as a product ...
  • Graded Bundles in the Category of Lie Groupoids 
    Bruce, A.J.; Grabowska, K.; Grabowski, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We define and make initial study of Lie groupoids equipped with a compatible homogeneity (or graded bundle) structure, such objects we will refer to as weighted Lie groupoids. One can think of weighted Lie groupoids as ...

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