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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • 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 ...
  • An Elliptic Garnier System from Interpolation 
    Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Considering a certain interpolation problem, we derive a series of elliptic difference isomonodromic systems together with their Lax forms. These systems give a multivariate extension of the elliptic Painlevé equation.
  • An Energy Gap for Complex Yang-Mills Equations 
    Huang, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We use the energy gap result of pure Yang-Mills equation [Feehan P.M.N., Adv. Math. 312 (2017), 547-587] to prove another energy gap result of complex Yang-Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point Theory ...
  • Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ 
    Clerc, Jean-Louis (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A family (Dλ)λ∈C of differential operators on the sphere Sⁿ is constructed. The operators are conformally covariant for the action of the subgroup of conformal transformations of Sⁿ which preserve the smaller sphere Sⁿ⁻¹ ...
  • A Projective-to-Conformal Fefferman-Type Construction 
    Hammerl, M.; Sagerschnig, K.; Šilhan, J.; Taghavi-Chabert, A.; Zádník, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study a Fefferman-type construction based on the inclusion of Lie groups SL(n+1) into Spin(n+1,n+1). The construction associates a split-signature (n,n)-conformal spin structure to a projective structure of dimension ...
  • Asymptotic Representations of Quantum Affine Superalgebras 
    Zhang, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study representations of the quantum affine superalgebra associated with a general linear Lie superalgebra. In the spirit of Hernandez-Jimbo, we construct inductive systems of Kirillov-Reshetikhin modules based on a ...
  • A Universal Genus-Two Curve from Siegel Modular Forms 
    Malmendier, A.; Shaska, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Let p be any point in the moduli space of genus-two curves M2 and K its field of moduli. We provide a universal equation of a genus-two curve Cα,β defined over K(α,β), corresponding to p, where α and β satisfy a quadratic ...
  • A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ 
    Nagao, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Recently a certain q-Painlevé type system has been obtained from a reduction of the q-Garnier system. In this paper it is shown that the q-Painlevé type system is associated with another realization of the affine Weyl group ...
  • 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 ...
  • 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 ...
  • Central Configurations and Mutual Differences 
    Ferrario, D.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Central configurations are solutions of the equations λmjqj=∂U/∂qj, where U denotes the potential function and each qj is a point in the d-dimensional Euclidean space E≅Rd, for j=1,…,n. We show that the vector of the mutual ...
  • Check-Operators and Quantum Spectral Curves 
    Mironov, A.; Morozov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We review the basic properties of effective actions of families of theories (i.e., the actions depending on additional non-perturbative moduli along with perturbative couplings), and their description in terms of operators ...
  • Classical and Quantum Superintegrability of Stäckel Systems 
    Błaszak, M.; Marciniak, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper we discuss maximal superintegrability of both classical and quantum Stäckel systems. We prove a sufficient condition for a flat or constant curvature Stäckel system to be maximally superintegrable. Further, ...
  • Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings 
    Habibullin, I.; Poptsova, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The main goal of the article is testing a new classification algorithm. To this end we apply it to a relevant problem of describing the integrable cases of a subclass of two-dimensional lattices.
  • Classification of Multidimensional Darboux Transformations: First Order and Continued Type 
    Hobby, D.; Shemyakova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We analyze Darboux transformations in very general settings for multidimensional linear partial differential operators. We consider all known types of Darboux transformations, and present a new type. We obtain a full ...
  • Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results 
    Bossé, E.-O.; Vinet, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The analytic specifications of photonic lattices with fractional revival (FR) and perfect state transfer (PST) are reviewed. The approach to their design which is based on orthogonal polynomials is highlighted. A compendium ...
  • Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry 
    Burke, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We extend some fundamental definitions and constructions in the established generalisation of Lie theory involving Lie groupoids by reformulating them in terms of groupoids internal to a well-adapted model of synthetic ...
  • 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 ...
  • 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 ...

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