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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type 
    Vassiliou, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The Cauchy problem for harmonic maps from Minkowski space with its standard flat metric to a certain non-constant curvature Lorentzian 2-metric is studied. The target manifold is distinguished by the fact that the ...
  • Combinatorial Formulae for Nested Bethe Vectors 
    Tarasov, V.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian Y(glN) and the quantum affine algebra Uq(glN˜).
  • Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials 
    Kalnins, E.G.; Miller Jr., W.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing. We extend the Wigner-Inönü method ...
  • Courant Algebroids. A Short History 
    Kosmann-Schwarzbach, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a ''double'' for Lie bialgebroids led to the definition of ...
  • Dirac Operators on Noncommutative Curved Spacetimes 
    Schenkel, A.; Uhlemann, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative ...
  • Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice 
    Maeda, K.; Tsujimoto, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain. Hankel ...
  • Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups 
    Coquereaux, R.; Zuber, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Drinfeld doubles of finite subgroups of SU(2) and SU(3) are investigated in detail. Their modular data – S, T and fusion matrices – are computed explicitly, and illustrated by means of fusion graphs. This allows us to ...
  • Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle 
    Đurđevich, M.; Sontz, S.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle. The covariant derivatives associated to this connection ...
  • Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System 
    Bouzeffour, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper, we introduce a new differential-difference operator Tξ (ξ∈RN) by using projections associated to orthogonal subsystems in root systems. Similarly to Dunkl theory, we show that these operators commute and we ...
  • Dynamical Equations, Invariants and Spectrum Generating Algebras of Mechanical Systems with Position-Dependent Mass 
    Sara Cruz y Cruz; Rosas-Ortiz, Oscar (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We analyze the dynamical equations obeyed by a classical system with position-dependent mass. It is shown that there is a non-conservative force quadratic in the velocity associated to the variable mass. We construct the ...
  • Euler Equations Related to the Generalized Neveu-Schwarz Algebra 
    Zuo, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper, we study supersymmetric or bi-superhamiltonian Euler equations related to the generalized Neveu-Schwarz algebra. As an application, we obtain several supersymmetric or bi-superhamiltonian generalizations of ...
  • Extended T-System of Type G₂ 
    Li, J.; Mukhin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We prove a family of 3-term relations in the Grothendieck ring of the category of finite-dimensional modules over the affine quantum algebra of type G₂ extending the celebrated T-system relations of type G₂. We show that ...
  • Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems 
    Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space. From these series ...
  • Free Fermi and Bose Fields in TQFT and GBF 
    Oeckl, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a rigorous and functorial quantization scheme for linear fermionic and bosonic field theory targeting the topological quantum field theory (TQFT) that is part of the general boundary formulation (GBF). Motivated ...
  • From Quantum AN to E₈ Trigonometric Model: Space-of-Orbits View 
    Turbiner, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits). These models are completely-integrable and admit ...
  • Generalized Fuzzy Torus and its Modular Properties 
    Schreivogl, P.; Steinacker, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider a generalization of the basic fuzzy torus to a fuzzy torus with non-trivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix ...
  • Geometry of Optimal Control for Control-Affine Systems 
    Clelland, J.N.; Moseley, C.G.; Wilkens, G.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three. We compute local isometric ...
  • Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian 
    Mattei, E.; Links, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce a Hamiltonian for two interacting su(2) spins. We use a mean-field analysis and exact Bethe ansatz results to investigate the ground-state properties of the system in the classical limit, defined as the limit ...
  • G-Strands and Peakon Collisions on Diff(R) 
    Holm, D.D.; Ivanov, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A G-strand is a map g: R×R→G for a Lie group G that follows from Hamilton's principle for a certain class of G-invariant Lagrangians. Some G-strands on finite-dimensional groups satisfy 1+1 space-time evolutionary equations ...
  • Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz 
    Belliard, S.; Crampé, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. ...

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