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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Hamiltonian Systems Inspired by the Schrödinger Equation 
    Kovalchuk, V.; Slawianowski, J.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Described is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered. Equations ...
  • Hidden Symmetries of M-Theory and Its Dynamical Realization 
    Nurmagambetov, A.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We discuss hidden symmetries of M-theory, its feedback on the construction of the M-theory effective action, and a response of the effective action when locality is preserved. In particular, the locality of special symmetries ...
  • Hochschild Cohomology Theories in White Noise Analysis 
    Léandre, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We show that the continuous Hochschild cohomology and the differential Hochschild cohomology of the Hida test algebra endowed with the normalized Wick product are the same.
  • Hochschild Homology and Cohomology of Klein Surfaces 
    Butin, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Within the framework of deformation quantization, a first step towards the study of star-products is the calculation of Hochschild cohomology. The aim of this article is precisely to determine the Hochschild homology and ...
  • Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces 
    Pickrell, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This paper is a sequel to [Caine A., Pickrell D., Int. Math. Res. Not., to appear, arXiv:0710.4484], where we studied the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on ...
  • Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups 
    Gershun, V.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We considered two types of string models: on the Riemmann space of string coordinates with null torsion and on the Riemman-Cartan space of string coordinates with constant torsion. We used the hydrodynamic approach of ...
  • Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions 
    Trimèche, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this paper we prove inversion formulas for the Dunkl intertwining operator Vk and for its dual tVk and we deduce the expression of the representing distributions of the inverse operators Vk⁻¹ and tVk⁻¹, and we give some ...
  • Isoparametric and Dupin Hypersurfaces 
    Cecil, T.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    A hypersurface Mn−1 in a real space-form Rn, Sn or Hn is isoparametric if it has constant principal curvatures. For Rn and Hn, the classification of isoparametric hypersurfaces is complete and relatively simple, but as ...
  • Liouville Theorem for Dunkl Polyharmonic Functions 
    Ren, G.; Liu, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Assume that f is Dunkl polyharmonic in Rn (i.e. (Δh)p f = 0 for some integer p, where Δh is the Dunkl Laplacian associated to a root system R and to a multiplicity function κ, defined on R and invariant with respect to the ...
  • Local Quasitriangular Hopf Algebras 
    Zhang, S.; Gould, M.D.; Zhang, Yao-Zhong (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The ...
  • Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D 
    Kalnins, E.G.; Post, S.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    There are 13 equivalence classes of 2D second order quantum and classical superintegrable systems with nontrivial potential, each associated with a quadratic algebra of hidden symmetries. We study the finite and infinite ...
  • Noncommutative Lagrange Mechanics 
    Kochan, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    It is proposed how to impose a general type of ''noncommutativity'' within classical mechanics from first principles. Formulation is performed in completely alternative way, i.e. without any resort to fuzzy and/or star ...
  • Non-Gatherable Triples for Non-Affine Root Systems 
    Cherednik, I.; Schneider, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This paper contains a complete description of minimal non-gatherable triangle triples in the lambda-sequences for the classical root systems, F₄ and E₆. Such sequences are associated with reduced decompositions (words) in ...
  • Nonlinear Fokker-Planck Equation in the Model of Asset Returns 
    Shapovalov, A.; Trifonov, A.; Masalova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The Fokker-Planck equation with diffusion coefficient quadratic in space variable, linear drift coefficient, and nonlocal nonlinearity term is considered in the framework of a model of analysis of asset returns at financial ...
  • On Griess Algebras 
    Roitman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this paper we prove that for any commutative (but in general non-associative) algebra A with an invariant symmetric non-degenerate bilinear form there is a graded vertex algebra V = V₀ + V₂ + V₃ + ..., such that dim V₀ ...
  • On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations 
    Levi, D.; Petrera, M.; Scimiterna, C.; Yamilov, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler-Bobenko-Suris (ABS) list into the discrete Schrödinger spectral problem associated with ...
  • On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices 
    Red'kov, V.M.; Bogush, A.A.; Tokarevskaya, N.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Parametrization of 4 × 4-matrices G of the complex linear group GL(4,C) in terms of four complex 4-vector parameters (k,m,n,l) is investigated. Additional restrictions separating some subgroups of GL(4,C) are given explicitly. ...
  • On the Role of the Normalization Factors κn and of the Pseudo-Metric P ≠ P† in Crypto-Hermitian Quantum Models 
    Znojil, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Among P-pseudo-Hermitian Hamiltonians H = P⁻¹H†P with real spectra, the ''weakly pseudo-Hermitian'' ones (i.e., those employing non-self-adjoint P ≠ P†) form a remarkable subfamily. We list some reasons why it deserves a ...
  • Periodic and Solitary Travelling-Wave Solutions of an Extended Reduced Ostrovsky Equation 
    Parkes, E.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Periodic and solitary travelling-wave solutions of an extended reduced Ostrovsky equation are investigated. Attention is restricted to solutions that, for the appropriate choice of certain constant parameters, reduce to ...
  • Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey 
    Kosmann-Schwarzbach, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or ...

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