Наукова електронна бібліотека
періодичних видань НАН України

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:

  • Hammerl, M.; Sagerschnig, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Given a maximally non-integrable 2-distribution D on a 5-manifold M, it was discovered by P. Nurowski that one can naturally associate a conformal structure [g]D of signature (2,3) on M. We show that those conformal ...
  • Vassiliou, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Cartan's method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group G. The contact geometry of curves in low dimensional equi-affine geometry is then made explicit. ...
  • Znojil, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    One-dimensional unitary scattering controlled by non-Hermitian (typically, PT-symmetric) quantum Hamiltonians H ≠ H† is considered. Treating these operators via Runge-Kutta approximation, our three-Hilbert-space formulation ...
  • Neumaier, N.; Waldmann, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In the present paper we explicitly construct deformation quantizations of certain Poisson structures on E*, where E → M is a Lie algebroid. Although the considered Poisson structures in general are far from being regular ...
  • Wallet, Jean-Christophe (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features ...
  • Bogoliubov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The basic model of the non-equilibrium low dimensional physics the so-called totally asymmetric exclusion process is related to the 'crystalline limit' (q → ∞) of the SUq(2) quantum algebra. Using the quantum inverse ...
  • Strachan, Ian A.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    When written in terms of J-functions, the classical Frobenius-Stickelberger pseudo-addition formula takes a very simple form. Generalizations of this functional identity are studied, where the functions involved are ...
  • 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 ...
  • 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 ...
  • 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 ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис