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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras 
    Honegger, R.; Rieckers, A.; Schlafer, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    C*-algebraic Weyl quantization is extended by allowing also degenerate pre-symplectic forms for the Weyl relations with infinitely many degrees of freedom, and by starting out from enlarged classical Poisson algebras. A ...
  • Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms 
    Svobodová, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important not only for investigating the structural properties of the algebras, but, on top of that, the fine gradings are often ...
  • First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes 
    Demni, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We provide two equivalent approaches for computing the tail distribution of the first hitting time of the boundary of the Weyl chamber by a radial Dunkl process. The first approach is based on a spectral problem with initial ...
  • Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations 
    Kuroki, K.; Nakayashiki, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Solutions of the qKZ equation associated with the quantum affine algebra Uq(^sl2) and its two dimensional evaluation representation are studied. The integral formulae derived from the free field realization of intertwining ...
  • Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models 
    Parkhomenko, S.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This is a review article of my recent papers on free field construction of D-branes in N = 2 superconformal minimal models and Gepner models.
  • Generalized Bessel function of Type D 
    Demni, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We write down the generalized Bessel function associated with the root system of type D by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type D.
  • Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces 
    Onodera, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We study the structure of differential equations of one-dimensional dispersive flows into compact Riemann surfaces. These equations geometrically generalize two-sphere valued systems modeling the motion of vortex filament. ...
  • 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 ...

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