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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix 
    Bouarroudj, S.; Grozman, P.; Leites, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Finite dimensional modular Lie superalgebras over algebraically closed fields with indecomposable Cartan matrices are classified under some technical, most probably inessential, hypotheses. If the Cartan matrix is invertible, ...
  • Clifford Fibrations and Possible Kinematics 
    McRae, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Following Herranz and Santander [Herranz F.J., Santander M., Mem. Real Acad. Cienc. Exact. Fis. Natur. Madrid 32 (1998), 59-84, physics/9702030] we will construct homogeneous spaces based on possible kinematical algebras ...
  • Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty'' 
    Bagchi, B.; Fring, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] contains various misconceptions. We compare ...
  • Comments on the Dynamics of the Pais-Uhlenbeck Oscillator 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We discuss the quantum dynamics of the PU oscillator, i.e. the system with the Lagrangian L = ½ [ ¨q² - (Ω₁² + Ω₂²) ·q² + Ω₁²Ω₂²q ] (+ nonlinear terms). When Ω₁ ≠ Ω₂, the free PU oscillator has a pure point spectrum ...
  • Compact Riemannian Manifolds with Homogeneous Geodesics 
    Alekseevsky, D.V.; Nikonorov, Y.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and ...
  • Conformal Killing-Yano Tensors on Manifolds with Mixed 3-Structures 
    Ianus, S.; Visinescu, M.; Vîlcu, G.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We show the existence of conformal Killing-Yano tensors on a manifold endowed with a mixed 3-Sasakian structure.
  • Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds – Characterization and Killing-Field Decomposition 
    Hammerl, M.; Sagerschnig, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Given a maximally non-integrable 2-distribution D on a 5-manifold M, it was discovered by P. Nurowski that one can naturally associate a conformal structure [g]D of signature (2,3) on M. We show that those conformal ...
  • Contact Geometry of Curves 
    Vassiliou, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Cartan's method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group G. The contact geometry of curves in low dimensional equi-affine geometry is then made explicit. ...
  • Cryptohermitian Picture of Scattering Using Quasilocal Metric Operators 
    Znojil, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    One-dimensional unitary scattering controlled by non-Hermitian (typically, PT-symmetric) quantum Hamiltonians H ≠ H† is considered. Treating these operators via Runge-Kutta approximation, our three-Hilbert-space formulation ...
  • Deformation Quantization of Poisson Structures Associated to Lie Algebroids 
    Neumaier, N.; Waldmann, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In the present paper we explicitly construct deformation quantizations of certain Poisson structures on E*, where E → M is a Lie algebroid. Although the considered Poisson structures in general are far from being regular ...
  • Derivations of the Moyal Algebra and Noncommutative Gauge Theories 
    Wallet, Jean-Christophe (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features ...
  • Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model 
    Bogoliubov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The basic model of the non-equilibrium low dimensional physics the so-called totally asymmetric exclusion process is related to the 'crystalline limit' (q → ∞) of the SUq(2) quantum algebra. Using the quantum inverse ...
  • Differential and Functional Identities for the Elliptic Trilogarithm 
    Strachan, Ian A.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    When written in terms of J-functions, the classical Frobenius-Stickelberger pseudo-addition formula takes a very simple form. Generalizations of this functional identity are studied, where the functions involved are ...
  • Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups 
    Ghorbel, A.; Hamrouni, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie ...
  • Dunkl Operators and Canonical Invariants of Reflection Groups 
    Berenstein, A.; Burman, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups. We verify that the elementary canonical invariants of the symmetric group are deformations of the elementary ...
  • Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle 
    Tsujimoto, S.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well. As a ...
  • Elliptic Hypergeometric Solutions to Elliptic Difference Equations 
    Magnus, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    It is shown how to define difference equations on particular lattices {xn}, n ∊ Z, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special ...
  • Existence and Construction of Vessiot Connections 
    Fesser, D.; Seiler, W.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A rigorous formulation of Vessiot's vector field approach to the analysis of general systems of partial differential equations is provided. It is shown that this approach is equivalent to the formal theory of differential ...
  • Extension Phenomena for Holomorphic Geometric Structures 
    McKay, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of complex codimension 2 or more.
  • Factor-Group-Generated Polar Spaces and (Multi-)Qudits 
    Havlicek, H.; Odehnal, B.; Saniga, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently, a number of interesting relations have been discovered between generalised Pauli/Dirac groups and certain finite geometries. Here, we succeeded in finding a general unifying framework for all these relations. We ...

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