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

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

Сортувати за: Порядок: Результатів:

  • Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix 
    Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We study quantum integrable models with GL(3) trigonometric R-matrix and solvable by the nested algebraic Bethe ansatz. Using the presentation of the universal Bethe vectors in terms of projections of products of the ...
  • Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a general solution-generating result within the bidifferential calculus approach to integrable partial differential and difference equations, based on a binary Darboux-type transformation. This is then applied ...
  • Bispectrality of the Complementary Bannai-Ito Polynomials 
    Genest, V.X.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to ...
  • Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials 
    van Diejen, J.F.; Emsiz, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise ...
  • 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 ...

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