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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Tsujimoto, S.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well. As a ...
  • Magnus, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    It is shown how to define difference equations on particular lattices {xn}, n ∊ Z, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special ...
  • Fesser, D.; Seiler, W.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A rigorous formulation of Vessiot's vector field approach to the analysis of general systems of partial differential equations is provided. It is shown that this approach is equivalent to the formal theory of differential ...
  • McKay, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of complex codimension 2 or more.
  • Havlicek, H.; Odehnal, B.; Saniga, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently, a number of interesting relations have been discovered between generalised Pauli/Dirac groups and certain finite geometries. Here, we succeeded in finding a general unifying framework for all these relations. We ...
  • Jentschura, U.D.; Surzhykov, A.; Zinn-Justin, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The concept of a generalized nonanalytic expansion which involves nonanalytic combinations of exponentials, logarithms and powers of a coupling is introduced and its use illustrated in various areas of physics. Dispersion ...
  • Lee, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper we use a diffeo-geometric framework based on manifolds that are locally modeled on ''convenient'' vector spaces to study the geometry of some infinite dimensional spaces. Given a finite dimensional symplectic ...
  • Clelland, J.N.; Moseley, C.G.; Wilkens, G.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Motivated by control-affine systems in optimal control theory, we introduce the notion of a point-affine distribution on a manifold X – i.e., an affine distribution F together with a distinguished vector field contained ...
  • Khongsap, T.; Wang, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We introduce an odd double affine Hecke algebra (DaHa) generated by a classical Weyl group W and two skew-polynomial subalgebras of anticommuting generators. This algebra is shown to be Morita equivalent to another new ...
  • Zuevsky, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Using the second Drinfeld formulation of the quantized universal enveloping algebra Uq(sl₂) we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar ...
  • Andrianov, A.A.; Sokolov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of ...
  • Eastwood, M.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
  • Ruijsenaars, Simon N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The Heun equation can be rewritten as an eigenvalue equation for an ordinary differential operator of the form −d²/dx²+V(g;x), where the potential is an elliptic function depending on a coupling vector g ∈ R⁴. Alternatively, ...
  • Ben Salem, Nejib; Samaali, Taha (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider expansions of functions in Lp(R,|x|2kdx), 1 ≤ p < +∞ with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the heat-diffusion and Poisson integrals in the one-dimensional Dunkl ...
  • Musson, I.M.; Pinczon, G.; Ushirobira, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We give a complete study of the Clifford-Weyl algebra C(n,2k) from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that C(n,2k) is rigid when n is even or when k ≠ 1. We find ...
  • Hall, G.S.; Lonie, D.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is ...
  • Gorbounov, V.; Schechtman, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study some features of infinite resolutions of Koszul algebras motivated by the developments in the string theory initiated by Berkovits.
  • Masuda, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We present the τ-functions for the hypergeometric solutions to the q-Painlevé system of type E₇⁽¹⁾ in a determinant formula whose entries are given by the basic hypergeometric function ₈W₇. By using the W(D₅) symmetry of ...
  • Grundland, M.; Patera, J.; Masáková, Z.; Dodgson, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread ...
  • Nowak, A.; Stempak, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z₂d. We prove that imaginary powers of this operator are bounded ...

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