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

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

Сортувати за: Порядок: Результатів:

  • Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups 
    Ghorbel, A.; Hamrouni, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie ...
  • Dunkl Operators and Canonical Invariants of Reflection Groups 
    Berenstein, A.; Burman, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups. We verify that the elementary canonical invariants of the symmetric group are deformations of the elementary ...
  • Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle 
    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 ...
  • Elliptic Hypergeometric Solutions to Elliptic Difference Equations 
    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 ...
  • Existence and Construction of Vessiot Connections 
    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 ...
  • Extension Phenomena for Holomorphic Geometric Structures 
    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.
  • Factor-Group-Generated Polar Spaces and (Multi-)Qudits 
    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 ...
  • Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators 
    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 ...
  • Geometric Structures on Spaces of Weighted Submanifolds 
    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 ...
  • Geometry of Control-Affine Systems 
    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 ...
  • Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type 
    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 ...
  • Heisenberg-Type Families in Uq(sl₂) 
    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 ...
  • Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics 
    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 ...
  • Higher Order Connections 
    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.
  • Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type III. The Heun Case 
    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, ...
  • Hilbert Transforms Associated with Dunkl-Hermite Polynomials 
    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 ...
  • Hochschild Cohomology and Deformations of Clifford-Weyl Algebras 
    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 ...
  • Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds 
    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 ...
  • Homological Algebra and Divergent Series 
    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.
  • Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾ 
    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 ...

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