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

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

Сортувати за: Порядок: Результатів:

  • On a Whitham-Type Equation 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.
  • On Brane Solutions Related to Non-Singular Kac-Moody Algebras 
    Ivashchuk, V.D.; Melnikov, V.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M0 × M1 × ... × Mn, where Mi are Einstein spaces (i ≥ 1). The sigma-model approach ...
  • On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems 
    Pavlov, M.V.; Popowicz, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associated system in involution is integrated in a ...
  • On Linear Differential Equations Involving a Para-Grassmann Variable 
    Mansour, T.; Schork, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    As a first step towards a theory of differential equations involving para-Grassmann variables the linear equations with constant coefficients are discussed and solutions for equations of low order are given explicitly. A ...
  • On Projective Equivalence of Univariate Polynomial Subspaces 
    Crooks, P.; Milson, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We pose and solve the equivalence problem for subspaces of Pn, the (n+1) dimensional vector space of univariate polynomials of degree ≤ n. The group of interest is SL2 acting by projective transformations on the Grassmannian ...
  • On Spinor Varieties and Their Secants 
    Manivel, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study the secant variety of the spinor variety, focusing on its equations of degree three and four. We show that in type Dn, cubic equations exist if and only if n ≥ 9. In general the ideal has generators in degrees at ...
  • On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type 
    Zelenko, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We present Tanaka's prolongation procedure for filtered structures on manifolds discovered in [Tanaka N., J. Math. Kyoto. Univ. 10 (1970), 1-82] in a spirit of Singer-Sternberg's description of the prolongation of usual ...
  • On the Moore Formula of Compact Nilmanifolds 
    Hamrouni, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations ...
  • On the Spectrum of a Discrete Non-Hermitian Quantum System 
    Ergun, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple conditions for discreteness ...
  • On the Structure of Lie Pseudo-Groups 
    Olver, P.J.; Pohjanpelto, J.; Valiquette, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors. We argue that the latter approach offers certain advantages from ...
  • Partial Sums of Two Quartic q-Series 
    Chu, W.; Wang, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.
  • Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    On using the known equivalence between the presence of a position-dependent mass (PDM) in the Schrödinger equation and a deformation of the canonical commutation relations, a method based on deformed shape invariance has ...
  • PT Symmetry and QCD: Finite Temperature and Density 
    Ogilvie, M.C.; Meisinger, P.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two significant problems in QCD are studied: the sign ...
  • 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 ...

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