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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10 за датою випуску

Сортувати за: Порядок: Результатів:

  • Mach-type soliton in the Novikov-Veselov equation 
    Jen-Hsu Chang (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Using the reality condition of the solutions, one constructs the Mach-type soliton of the Novikov-Veselov equation by the minor-summation formula of the Pfaffian. We study the evolution of the Mach-type soliton and find ...
  • Demazure Modules, Chari–Venkatesh Modules and Fusion Products 
    Ravinder, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Let g be a finite-dimensional complex simple Lie algebra with highest root θ. Given two non-negative integers m, n, we prove that the fusion product of m copies of the level one Demazure module D(1,θ) with n copies of the ...
  • Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras 
    Mazzocco, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this paper we introduce a basic representation for the confluent Cherednik algebras HV, HIII, HD7III and HD8III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the ...
  • The Freiheitssatz for Generic Poisson Algebras 
    Kolesnikov, P.S.; Makar-Limanov, L.G.; Shestakov, I.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We prove the Freiheitssatz for the variety of generic Poisson algebras.
  • Periodic Vortex Streets and Complex Monodromy 
    Hemery, A.D.; Veselov, P.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The explicit constructions of periodic and doubly periodic vortex relative equilibria using the theory of monodromy-free Schrödinger operators are described. Several concrete examples with the qualitative analysis of the ...
  • Matrix Valued Classical Pairs Related to Compact Gelfand Pairs of Rank One 
    Maarten van Pruijssen; Román, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We present a method to obtain infinitely many examples of pairs (W,D) consisting of a matrix weight W in one variable and a symmetric second-order differential operator D. The method is based on a uniform construction of ...
  • Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies 
    Krepski, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Using the framework of quasi-Hamiltonian actions, we compute the obstruction to prequantization for the moduli space of flat PU(p)-bundles over a compact orientable surface with prescribed holonomies around boundary ...
  • The Generic Superintegrable System on the 3-Sphere and the 9j Symbols of su(1, 1) 
    Vincent X. Genest; Vinet, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The 9j symbols of su(1,1) are studied within the framework of the generic superintegrable system on the 3-sphere. The canonical bases corresponding to the binary coupling schemes of four su(1,1) representations are constructed ...
  • On Certain Wronskians of Multiple Orthogonal Polynomials 
    Zhang, L.; Filipuk, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We consider determinants of Wronskian type whose entries are multiple orthogonal polynomials associated with a path connecting two multi-indices. By assuming that the weight functions form an algebraic Chebyshev (AT) system, ...
  • κ-Deformations and extended κ-Minkowski spacetimes 
    Borowiec, A.; Pachoł, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We extend our previous study of Hopf-algebraic κ-deformations of all inhomogeneous orthogonal Lie algebras iso(g) as written in a tensorial and unified form. Such deformations are determined by a vector τ which for Lorentzian ...
  • κ-Deformed Phase Space, Hopf Algebroid and Twisting 
    Jurić, T.; Kovačević, D.; Meljanac, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Hopf algebroid structures on the Weyl algebra (phase space) are presented. We define the coproduct for the Weyl generators from Leibniz rule. The codomain of the coproduct is modified in order to obtain an algebra structure. ...
  • Everywhere Equivalent 3-Braids 
    Stoimenow, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    A knot (or link) diagram is said to be everywhere equivalent if all the diagrams obtained by switching one crossing represent the same knot (or link). We classify such diagrams of a closed 3-braid.
  • Who's Afraid of the Hill Boundary? 
    Montgomery, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The Jacobi-Maupertuis metric allows one to reformulate Newton's equations as geodesic equations for a Riemannian metric which degenerates at the Hill boundary. We prove that a JM geodesic which comes sufficiently close to ...
  • Selective Categories and Linear Canonical Relations 
    Li-Bland, D.; Weinstein, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    A construction of Wehrheim and Woodward circumvents the problem that compositions of smooth canonical relations are not always smooth, building a category suitable for functorial quantization. To apply their construction ...
  • Wong's Equations and Charged Relativistic Particles in Non-Commutative Space 
    Balasin, H.; Blaschke, D.N.; Gieres, F.; Schweda, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In analogy to Wong's equations describing the motion of a charged relativistic point particle in the presence of an external Yang-Mills field, we discuss the motion of such a particle in non-commutative space subject to ...
  • Center of Twisted Graded Hecke Algebras for Homocyclic Groups 
    Gan, W.L.; Highfield, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We determine explicitly the center of the twisted graded Hecke algebras associated to homocyclic groups. Our results are a generalization of formulas by M. Douglas and B. Fiol in [J. High Energy Phys. 2005 (2005), no. 9, ...
  • Quantum Dimension and Quantum Projective Spaces 
    Matassa, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We show that the family of spectral triples for quantum projective spaces introduced by D'Andrea and Dąbrowski, which have spectral dimension equal to zero, can be reconsidered as modular spectral triples by taking into ...
  • Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral 
    Das, S.; Pramanik, S.; Ghosh, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this article, we discuss some well-known theoretical models where an observer-independent energy scale or a length scale is present. The presence of this invariant scale necessarily deforms the Lorentz symmetry. We study ...
  • Particle Motion in Monopoles and Geodesics on Cones 
    Mayrand, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The equations of motion of a charged particle in the field of Yang's SU(2) monopole in 5-dimensional Euclidean space are derived by applying the Kaluza-Klein formalism to the principal bundle R⁸∖{0}→R⁵∖{0} obtained by ...
  • Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras 
    Mazzocco, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this paper we introduce a basic representation for the confluent Cherednik algebras HV, HIII, HD7III and HD8III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the non-symmetric ...

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