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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:

  • Generalized Symmetries of Massless Free Fields on Minkowski Space 
    Pohjanpelto, J.; Anco, S.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin s ≥ 1/2 is carried out. Up to equivalence, these are found to consists of the conformal symmetries and their duals, ...
  • Generating Series for Nested Bethe Vectors 
    Khoroshkin, S.; Pakuliak, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We reformulate nested relations between off-shell Uq(^glN) Bethe vectors as a certain equation on generating series of strings of the composed Uq(^glN) currents. Using inversion of the generating series we find a new type ...
  • Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds 
    Bromberg, S.; Medina, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this work it is shown that a necessary condition for the completeness of the geodesics of left invariant pseudo-Riemannian metrics on Lie groups is also sufficient in the case of 3-dimensional unimodular Lie groups, and ...
  • Geodesic Equations on Diffeomorphism Groups 
    Vizman, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We bring together those systems of hydrodynamical type that can be written as geodesic equations on diffeomorphism groups or on extensions of diffeomorphism groups with right invariant L² or H¹ metrics. We present their ...
  • Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems 
    Beffa, G.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this paper we present an overview of the connection between completely integrable systems and the background geometry of the flow. This relation is better seen when using a group-based concept of moving frame introduced ...
  • Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio 
    Komech, A.I.; Komech, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic ...
  • 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 ...

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