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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:

  • 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 ...
  • Preon Model and Family Replicated E₆ Unification 
    Das, C.R.; Laperashvili, L.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Previously we suggested a new preon model of composite quark-leptons and bosons with the 'flipped' E₆ × ˜E₆ gauge symmetry group. We assumed that preons are dyons having both hyper-electric g and hyper-magnetic ˜g charges, ...
  • Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras 
    Fuchs, D.; Wilmarth, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl2 (Theorem 3). The ...
  • Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology 
    Isidro, J.M.; Fernández de Córdoba, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    A key symmetry of classical p-branes is invariance under worldvolume diffeomorphisms. Under the assumption that the worldvolume, at fixed values of the time, is a compact, quantisable Kähler manifold, we prove that the Lie ...
  • Quantum Painlevé Equations: from Continuous to Discrete 
    Nagoya, H.; Grammaticos, B.; Ramani, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We examine quantum extensions of the continuous Painlevé equations, expressed as systems of first-order differential equations for non-commuting objects. We focus on the Painlevé equations II, IV and V. From their auto-Bäcklund ...
  • Quasi-Linear Algebras and Integrability (the Heisenberg Picture) 
    Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We study Poisson and operator algebras with the ''quasi-linear property'' from the Heisenberg picture point of view. This means that there exists a set of one-parameter groups yielding an explicit expression of dynamical ...
  • Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy 
    Bogoslovsky, G.Yu. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We study the geometric phase transitions that accompany the dynamic rearrangement of vacuum under spontaneous violation of initial gauge symmetry. The rearrangement may give rise to condensates of three types, namely the ...
  • Recent Applications of the Theory of Lie Systems in Ermakov Systems 
    Cariñena, J.F.; de Lucas, J.; Rañada, M.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We review some recent results of the theory of Lie systems in order to apply such results to study Ermakov systems. The fundamental properties of Ermakov systems, i.e. their superposition rules, the Lewis-Ermakov invariants, ...
  • Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type 
    Gerdjikov, V.S.; Kostov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    New reductions for the multicomponent modified Korteweg-de Vries (MMKdV) equations on the symmetric spaces of DIII-type are derived using the approach based on the reduction group introduced by A.V. Mikhailov. The relevant ...
  • Relative differential K-characters 
    Maghfoul, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We define a group of relative differential K-characters associated with a smooth map between two smooth compact manifolds. We show that this group fits into a short exact sequence as in the non-relative case. Some secondary ...
  • Riccati and Ermakov Equations in Time-Dependent and Time-Independent Quantum Systems 
    Schuch, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The time-evolution of the maximum and the width of exact analytic wave packet (WP) solutions of the time-dependent Schrödinger equation (SE) represents the particle and wave aspects, respectively, of the quantum system. ...
  • Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields 
    Guttenberg, S.; Savvidy, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This review is devoted to the Schwinger and Fronsdal theory of Abelian tensor gauge fields. The theory describes the propagation of free massless gauge bosons of integer helicities and their interaction with external ...
  • Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants 
    Calaque, D.; Rossi, C.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this paper we prove a conjecture of B. Shoikhet. This conjecture states that the tangent isomorphism on homology, between the Poisson homology associated to a Poisson structure on Rd and the Hochschild homology of its ...
  • Single-Pole Interaction of the Particle with the String 
    Vasilic, M.; Vojinovic, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Within the framework of generalized Papapetrou method, we derive the effective equations of motion for a string with two particles attached to its ends, along with appropriate boundary conditions. The equations of motion ...
  • sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols 
    Ben Ammar, M.; Boujelbene, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We consider the action of VectPol(R) by Lie derivative on the spaces of symbols of differential operators. We study the deformations of this action that become trivial once restricted to sl(2). Necessary and sufficient ...

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