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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • On Toric Poisson Structures of Type (1,1) and their Cohomology 
    Caine, A.; Givens, B.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We classify real Poisson structures on complex toric manifolds of type (1,1) and initiate an investigation of their Poisson cohomology. For smooth toric varieties, such structures are necessarily algebraic and are homogeneous ...
  • Orbital Linearization of Smooth Completely Integrable Vector Fields 
    Zung, N.T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The main purpose of this paper is to prove the smooth local orbital linearization theorem for smooth vector fields which admit a complete set of first integrals near a nondegenerate singular point. The main tools used in ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Positive Definite Functions on Complex Spheres and their Walks through Dimensions 
    Massa, E.; Peron, A.P.; Porcu, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We provide walks through dimensions for isotropic positive definite functions defined over complex spheres. We show that the analogues of Montée and Descente operators as proposed by Beatson and zu Castell [J. Approx. ...
  • 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 ...
  • Rational Solutions of the Painlevé-II Equation Revisited 
    Miller, P.D.; Sheng, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The rational solutions of the Painlevé-II equation appear in several applications and are known to have many remarkable algebraic and analytic properties. They also have several different representations, useful in different ...
  • 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 ...
  • Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space 
    Zhang, J.; Hu, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We realize the Hopf algebra Uq(sp₂n) as an algebra of quantum differential operators on the quantum symplectic space X(fs;R) and prove that X(fs;R) is a Uq(sp₂n)-module algebra whose irreducible summands are just its ...
  • Relativistic DNLS and Kaup-Newell Hierarchy 
    Pashaev, O.K.; Lee, J.-H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    By the recursion operator of the Kaup-Newell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the corresponding Lax pair. In the nonrelativistic limit c→∞ it reduces to DNLS equation and preserves ...
  • Remarks on Contact and Jacobi Geometry 
    Bruce, A.J.; Grabowska, K.; Grabowski, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We present an approach to Jacobi and contact geometry that makes many facts, presented in the literature in an overcomplicated way, much more natural and clear. The key concepts are Kirillov manifolds and linear Kirillov ...
  • Restriction of Odd Degree Characters of Sn 
    Bessenrodt, C.; Giannelli, E.; Olsson, J.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study the restriction of odd-degree irreducible characters of the symmetric group Sn.
  • 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.
  • Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice 
    Fordy, A.P.; Xenitidis, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We recently introduced a class of ZN graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called ''self-dual''. In this ...
  • Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials 
    Odake, S.; Sasaki, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their ...
  • Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II 
    Deift, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We describe a list of open problems in random matrix theory and the theory of integrable systems that was presented at the conference Asymptotics in Integrable Systems, Random Matrices and Random Processes and Universality, ...
  • Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure 
    Raasakka, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required. Such a ...
  • Symmetries of the Hirota Difference Equation 
    Pogrebkov, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation ...
  • Symmetries of the Space of Linear Symplectic Connections 
    Fox, D.J.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    There is constructed a family of Lie algebras that act in a Hamiltonian way on the symplectic affine space of linear symplectic connections on a symplectic manifold. The associated equivariant moment map is a formal sum ...

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