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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • Lechtenfeld, O.; Schwerdtfeger, K.; Thürigen, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We review the relation of N=4 superconformal multi-particle models on the real line to the WDVV equation and an associated linear equation for two prepotentials, F and U. The superspace treatment gives another variant of ...
  • Leuther, T.; Radoux, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The existence of a natural and projectively invariant quantization in the sense of P. Lecomte [Progr. Theoret. Phys. Suppl. (2001), no. 144, 125-132] was proved by M. Bordemann [math.DG/0208171], using the framework of ...
  • Haesen, S.; Verstraelen, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces ...
  • Feng, B.-F.; Ohta, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method. One- and two-bright-dark soliton solutions are ...
  • Szendrői, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This paper studies geometric engineering, in the simplest possible case of rank one (Abelian) gauge theory on the affine plane and the resolved conifold. We recall the identification between Nekrasov's partition function ...
  • Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra e(3)=so(3)⋉R³. We present the bi-Hamiltonian structure and the corresponding variables of ...
  • Schöbel, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The fundamental tool in the classification of orthogonal coordinate systems in which the Hamilton-Jacobi and other prominent equations can be solved by a separation of variables are second order Killing tensors which satisfy ...
  • D'Andrea, F.; Franco, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We describe how to obtain the imprimitivity bimodules of the noncommutative torus from a ''principal bundle'' construction, where the total space is a quasi-associative deformation of a 3-dimensional Heisenberg manifold.
  • Kordyukova, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We introduce a method of approximate nonclassical Lie-Bäcklund symmetries for partial differential equations with a small parameter and discuss applications of this method to finding of approximate solutions both integrable ...
  • Brzeziński, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Elements of noncommutative differential geometry of Z-graded generalized Weyl algebras A(p;q) over the ring of polynomials in two variables and their zero-degree subalgebras B(p;q), which themselves are generalized Weyl ...
  • Balachandran, A.P.; Qureshi, B.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenewold-Moyal Plane as examples of noncommutative spaces in physics. We introduce the basic ideas, and discuss some important ...
  • Kochan, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    It is proposed how to impose a general type of ''noncommutativity'' within classical mechanics from first principles. Formulation is performed in completely alternative way, i.e. without any resort to fuzzy and/or star ...
  • Horváthy, P.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Non-commutative structures were introduced, independently and around the same time, in mathematical and in condensed matter physics (see Table 1). Souriau's construction applied to the two-parameter central extension of ...
  • Ngendakumana, A.; Nzotungicimpaye, J.; Todjihounde, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton-Hooke groups in two- and three-dimensional ...
  • Rieffel, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In the setting of finite-dimensional C*-algebras A we define what we call a Riemannian metric for A, which when A is commutative is very closely related to a finite resistance network. We explore the relationship with ...
  • Zuevsky, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We introduce new examples of mappings defining noncommutative root space generalizations for the Witt, Ricci flow, and Poisson bracket continual Lie algebras.
  • Rennie, A.; Sims, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We revisit the characterisation of modules over non-unital C∗-algebras analogous to modules of sections of vector bundles. A fullness condition on the associated multiplier module characterises a class of modules which ...
  • Everton M.C. Abreu; Albert C.R. Mendes; Oliveira, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This work is devoted to review the gauge embedding of either commutative and noncommutative (NC) theories using the symplectic formalism framework. To sum up the main features of the method, during the process of embedding, ...
  • Karshon, Y.; Lerman, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    A key result in equivariant symplectic geometry is Delzant's classification of compact connected symplectic toric manifolds. The moment map induces an embedding of the quotient of the manifold by the torus action into the ...
  • Cherednik, I.; Schneider, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This paper contains a complete description of minimal non-gatherable triangle triples in the lambda-sequences for the classical root systems, F₄ and E₆. Such sequences are associated with reduced decompositions (words) in ...

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