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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:

  • Branching Laws for Some Unitary Representations of SL(4,R) 
    Ørsted, B.; Speh, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this paper we consider the restriction of a unitary irreducible representation of type Aq(λ) of GL(4,R) to reductive subgroups H which are the fixpoint sets of an involution. We obtain a formula for the restriction to ...
  • Classical R-Operators and Integrable Generalizations of Thirring Equations 
    Skrypnyk, T.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras gσ in different gradings and associated ''triangular'' R-operators. We consider the most interesting cases ...
  • Contact Geometry of Hyperbolic Equations of Generic Type 
    The, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We study the contact geometry of scalar second order hyperbolic equations in the plane of generic type. Following a derivation of parametrized contact-invariants to distinguish Monge-Ampère (class 6-6), Goursat (class 6-7) ...
  • Deligne-Beilinson Cohomology and Abelian Link Invariants 
    Guadagnini, E.; Thuillier, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    For the Abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable ...
  • Dunkl Hyperbolic Equations 
    Mejjaoli, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We introduce and study the Dunkl symmetric systems. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite speed of it. Next the semi-linear Dunkl-wave equations are ...
  • Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field 
    Hiller, B.; Osipov, A.A.; Blin, A.H.; Providência, João da (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    It is shown how the strong interaction dynamics of a multi-quark Lagrangian affects the catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions. Attention is drawn to the local minima ...
  • Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics 
    Vacaru, S.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We formulate an approach to the geometry of Riemann-Cartan spaces provided with nonholonomic distributions defined by generic off-diagonal and nonsymmetric metrics inducing effective nonlinear and affine connections. Such ...
  • E-Orbit Functions 
    Klimyk, A.U.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We review and further develop the theory of E-orbit functions. They are functions on the Euclidean space En obtained from the multivariate exponential function by symmetrization by means of an even part We of a Weyl group ...
  • Equivariance, Variational Principles, and the Feynman Integral 
    Svetlichny, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of ...
  • Exterior Differential Systems for Yang-Mills Theories 
    Estabrook, F.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Exterior differential systems are given, and their Cartan characters calculated, for Maxwell and SU(2)-Yang-Mills equations in dimensions from three to six.
  • External Ellipsoidal Harmonics for the Dunkl-Laplacian 
    Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The paper introduces external ellipsoidal and external sphero-conal h-harmonics for the Dunkl-Laplacian. These external h-harmonics admit integral representations, and they are connected by a formula of Niven's type.
  • 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 ...

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