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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:

  • Affine Poisson Groups and WZW Model 
    Klimcík, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We give a detailed description of a dynamical system which enjoys a Poisson-Lie symmetry with two non-isomorphic dual groups. The system is obtained by taking the q → ∞ limit of the q-deformed WZW model and the understanding ...
  • A Jacobson Radical Decomposition of the Fano-Snowflake Configuration 
    Saniga, M.; Pracna, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The Fano-Snowflake, a specific configuration associated with the smallest ring of ternions Rà (arXiv:0803.4436 and arXiv:0806.3153), admits an interesting partitioning with respect to the Jacobson radical of Rà. The totality ...
  • A Limit Relation for Dunkl-Bessel Functions of Type A and B 
    Rösler, M.; Voit, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We prove a limit relation for the Dunkl-Bessel function of type BN with multiplicity parameters k₁ on the roots ±ei and k₂ on ±ei±ej where k₁ tends to infinity and the arguments are suitably scaled. It gives a good ...
  • An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian 
    De Bie, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We introduce the so-called Clifford-Hermite polynomials in the framework of Dunkl operators, based on the theory of Clifford analysis. Several properties of these polynomials are obtained, such as a Rodrigues formula, a ...
  • Analyticity of the Free Energy of a Closed 3-Manifold 
    Garoufalidis, S.; Thang T.Q. Lê; Mariño, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The free energy of a closed 3-manifold is a 2-parameter formal power series which encodes the perturbative Chern-Simons invariant (also known as the LMO invariant) of a closed 3-manifold with gauge group U(N) for arbitrary ...
  • An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie 
    Bourgin, R.D.; Robart, T.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We revisit the third fundamental theorem of Lie (Lie III) for finite dimensional Lie algebras in the context of infinite dimensional matrices.
  • Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia 
    Siriwat, P.; Meleshko, S.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Group classification of the three-dimensional equations describing flows of fluids with internal inertia, where the potential function W = W(ρ,ρ·), is presented. The given equations include such models as the non-linear ...
  • A Probablistic Origin for a New Class of Bivariate Polynomials 
    Hoare, M.R.; Rahman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We present here a probabilistic approach to the generation of new polynomials in two discrete variables. This extends our earlier work on the 'classical' orthogonal polynomials in a previously unexplored direction, resulting ...
  • A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary) 
    Paneitz, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This is the original manuscript dated March 9th 1983, typeset by the Editors for the Proceedings of the Midwest Geometry Conference 2007 held in memory of Thomas Branson. Stephen Paneitz passed away on September 1st 1983 ...
  • A Unified Model of Phantom Energy and Dark Matter 
    Chaves, M.; Singleton, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    To explain the acceleration of the cosmological expansion researchers have considered an unusual form of mass-energy generically called dark energy. Dark energy has a ratio of pressure over mass density which obeys w = p/ρ ...
  • 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.

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