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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13 за датою випуску

Сортувати за: Порядок: Результатів:

  • Rational Solutions to the ABS List: Transformation Approach 
    Zhang, D.; Zhang, D.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(δ), H3(δ), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklund transformations between these lattice ...
  • Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds 
    Garcia-Pulido, A.L.; Herrera, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We prove the rigidity and vanishing of several indices of ''geometrically natural'' twisted Dirac operators on almost even-Clifford Hermitian manifolds admitting circle actions by automorphisms.
  • The Moments of the Hydrogen Atom by the Method of Brackets 
    Gonzalez, I.; Kohl, K.T.; Kondrashuk, I.; Moll, V.H.; Salinas, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Expectation values of powers of the radial coordinate in arbitrary hydrogen states are given, in the quantum case, by an integral involving the associated Laguerre function. The method of brackets is used to evaluate the ...
  • Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry 
    Fuksa, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas ...
  • A Linear System of Differential Equations Related to Vector-Valued Jack Polynomials on the Torus 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    For each irreducible module of the symmetric group SN there is a set of parametrized nonsymmetric Jack polynomials in N variables taking values in the module. These polynomials are simultaneous eigenfunctions of a commutative ...
  • Non-Commutative Vector Bundles for Non-Unital Algebras 
    Rennie, A.; Sims, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We revisit the characterisation of modules over non-unital C∗-algebras analogous to modules of sections of vector bundles. A fullness condition on the associated multiplier module characterises a class of modules which ...
  • Part III, Free Actions of Compact Quantum Groups on C*-Algebras 
    Schwieger, K.; Wagner, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study and classify free actions of compact quantum groups on unital C∗-algebras in terms of generalized factor systems. Moreover, we use these factor systems to show that all finite coverings of irrational rotation ...
  • A Generalization of the Doubling Construction for Sums of Squares Identities 
    Zhang, C.; Huang, H.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The doubling construction is a fast and important way to generate new solutions to the Hurwitz problem on sums of squares identities from any known ones. In this short note, we generalize the doubling construction and ...
  • An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group 
    Hung-Lin Chiu; Yen-Chang Huang; Sin-Hua Lai (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We show the fundamental theorems of curves and surfaces in the 3-dimensional Heisenberg group and find a complete set of invariants for curves and surfaces respectively. The proofs are based on Cartan's method of moving ...
  • The Malgrange Form and Fredholm Determinants 
    Bertola, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We consider the factorization problem of matrix symbols relative to a closed contour, i.e., a Riemann-Hilbert problem, where the symbol depends analytically on parameters. We show how to define a function τ which is locally ...
  • q -Difference Kac-Schwarz Operators in Topological String Theory 
    Takasaki, K.; Nakatsu, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The perspective of Kac-Schwarz operators is introduced to the authors' previous work on the quantum mirror curves of topological string theory in strip geometry and closed topological vertex. Open string amplitudes on each ...
  • Drinfeld J Presentation of Twisted Yangians 
    Belliard, S.; Regelskis, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We present a quantization of a Lie coideal structure for twisted half-loop algebras of finite-dimensional simple complex Lie algebras. We obtain algebra closure relations of twisted Yangians in Drinfeld J presentation for ...
  • Bôcher and Abstract Contractions of 2nd Order Quadratic Algebras 
    Escobar Ruiz, M.A.; Kalnins, E.G.; Miller Jr., W.; Subag, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly solvable physical ...
  • Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System 
    Rogers, C.; Clarkson, P.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A class of nonlinear Schrödinger equations involving a triad of power law terms together with a de Broglie-Bohm potential is shown to admit symmetry reduction to a hybrid Ermakov-Painlevé II equation which is linked, in ...
  • Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups 
    Gomi, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A twist is a datum playing a role of a local system for topological K-theory. In equivariant setting, twists are classified into four types according to how they are realized geometrically. This paper lists the possible ...
  • Contact Isotropic Realisations of Jacobi Manifolds via Spencer Operators 
    Salazar, M.A.; Sepe, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Motivated by the importance of symplectic isotropic realisations in the study of Poisson manifolds, this paper investigates the local and global theory of contact isotropic realisations of Jacobi manifolds, which are those ...
  • Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation 
    Shi, Y.; Nimmo, J.; Zhao, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations ...
  • Parallelisms & Lie Connections 
    Blázquez-Sanz, D.; Casale, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The aim of this article is to study rational parallelisms of algebraic varieties by means of the transcendence of their symmetries. The nature of this transcendence is measured by a Galois group built from the Picard-Vessiot ...
  • Contractions of Degenerate Quadratic Algebras, Abstract and Geometric 
    Escobar Ruiz, M.A.; Subag, E.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly solvable physical ...
  • Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle 
    Bultheel, A.; Cruz-Barroso, R.; Lasarow, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Orthogonal rational functions (ORF) on the unit circle generalize orthogonal polynomials (poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we investigate the properties of and the ...

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