Наукова електронна бібліотека
періодичних видань НАН України

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:

  • 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 ...
  • 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 ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис