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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras 
    Accardi, L.; Boukas, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and ...
  • Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings 
    Coquereaux, R.; Schieber, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Three exceptional modular invariants of SU(4) exist at levels 4, 6 and 8. They can be obtained from appropriate conformal embeddings and the corresponding graphs have self-fusion. From these embeddings, or from their ...
  • Quiver Varieties and Branching 
    Nakajima, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Braverman and Finkelberg recently proposed the geometric Satake correspondence for the affine Kac-Moody group Gaff [Braverman A., Finkelberg M., arXiv:0711.2083]. They conjecture that intersection cohomology sheaves on the ...
  • q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations 
    Kuroki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Matrix elements of intertwining operators between q-Wakimoto modules associated to the tensor product of representations of Uq(^sl2) with arbitrary spins are studied. It is shown that they coincide with the Tarasov-Varchenko's ...
  • Remarks on Multi-Dimensional Conformal Mechanics 
    Burdík, C.; Nersessian, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one. Considering the classical counterpart of this transformation, ...
  • Second-Order Conformally Equivariant Quantization in Dimension 1|2 
    Mellouli, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper is the next step of an ambitious program to develop conformally equivariant quantization on supermanifolds. This problem was considered so far in (super)dimensions 1 and 1|1. We will show that the case of several ...
  • Self-Consistent-Field Method and τ-Functional Method on Group Manifold in Soliton Theory: a Review and New Results 
    Nishiyama, S.; da Providência, J.; Providência, C.; Cordeiro, F.; Komatsu, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The maximally-decoupled method has been considered as a theory to apply an basic idea of an integrability condition to certain multiple parametrized symmetries. The method is regarded as a mathematical tool to describe a ...
  • Simple Finite Jordan Pseudoalgebras 
    Kolesnikov, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider the structure of Jordan H-pseudoalgebras which are linearly finitely generated over a Hopf algebra H. There are two cases under consideration: H = U(h) and H = U(h) # C[Γ], where h is a finite-dimensional Lie ...
  • Singularities of Affine Schubert Varieties 
    Kuttler, J.; Lakshmibai, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type Al⁽¹⁾). For two classes of affine Schubert varieties, we determine the singular loci; and for one class, we also determine ...
  • Singularity Classes of Special 2-Flags 
    Mormul, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In the paper we discuss certain classes of vector distributions in the tangent bundles to manifolds, obtained by series of applications of the so-called generalized Cartan prolongations (gCp). The classical Cartan prolongations ...
  • Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional ...
  • Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials 
    Kalnins, E.G.; Kress, J.M.; Post, S.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The structure theory for the quadratic algebra generated by first and second order constants of the motion for 2D second order superintegrable systems with nondegenerate (3-parameter) and or 2-parameter potentials is well ...
  • Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions 
    Wise, D.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The ...
  • Symplectic Applicability of Lagrangian Surfaces 
    Musso, E.; Nicolodi, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived ...
  • The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries 
    de la Madrid, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain ...
  • The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature 
    Guo, E.; Mo, X.; Zhang, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    By using the Hawking Taub-NUT metric, this note gives an explicit construction of a 3-parameter family of Einstein Finsler metrics of non-constant flag curvature in terms of navigation representation.
  • The Group of Quasisymmetric Homeomorphisms of the Circle and Quantization of the Universal Teichmüller Space 
    Sergeev, A.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In the first part of the paper we describe the complex geometry of the universal Teichmüller space T, which may be realized as an open subset in the complex Banach space of holomorphic quadratic differentials in the unit ...
  • The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials 
    Kakei, S.; Nishizawa, M.; Saito, Y.; Takeyama, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra glN. The main ingredient is a special class of the shifted non-symmetric Jack polynomials. It may be ...
  • The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One 
    Ghressi, A.; Khériji, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We investigate the quadratic decomposition and duality to classify symmetrical Hq-semiclassical orthogonal q-polynomials of class one where Hq is the Hahn's operator. For any canonical situation, the recurrence coefficients, ...
  • Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture 
    Langer, R.; Schlosser, M.J.; Warnaar, S.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic ...

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