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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Non-Commutative Resistance Networks 
    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 ...
  • Non-Point Invertible Transformations and Integrability of Partial Difference Equations 
    Startsev, S.Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    This article is devoted to the partial difference quad-graph equations that can be represented in the form φ(u(i+1,j),u(i+1,j+1))=ψ(u(i,j),u(i,j+1)), where the map (w,z)→(φ(w,z),ψ(w,z)) is injective. The transformation ...
  • 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 ...
  • 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 ...
  • Nontrivial Deformation of a Trivial Bundle 
    Hajac, P.M.; Zieliński, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The SU(2)-prolongation of the Hopf fibration S³→S² is a trivializable principal SU(2)-bundle. We present a noncommutative deformation of this bundle to a quantum principal SUq(2)-bundle that is not trivializable. On the ...
  • 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, ...
  • On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras 
    Aissaoui, S.; Makhlouf, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The purpose of this paper is to investigate finite-dimensional superbialgebras and Hopf superalgebras. We study connected superbialgebras and provide a classification of non-trivial superbialgebras and Hopf superalgebras ...
  • On Projections in the Noncommutative 2-Torus Algebra 
    Eckstein, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We investigate a set of functional equations defining a projection in the noncommutative 2-torus algebra Aθ. The exact solutions of these provide various generalisations of the Powers-Rieffel projection. By identifying the ...
  • On the Conjectures Regarding the 4-Point Atiyah Determinant 
    Bou Khuzam, M.N.; Johnson, M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    For the case of 4 points in Euclidean space, we present a computer aided proof of Conjectures II and III made by Atiyah and Sutcliffe regarding Atiyah's determinant along with an elegant factorization of the square of the ...
  • On the Smoothness of the Noncommutative Pillow and Quantum Teardrops 
    Brzeziński, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Recent results by Krähmer [Israel J. Math. 189 (2012), 237-266] on smoothness of Hopf-Galois extensions and by Liu [arXiv:1304.7117] on smoothness of generalized Weyl algebras are used to prove that the coordinate algebras ...
  • Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry 
    Brenken, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Certain ∗-semigroups are associated with the universal C∗-algebra generated by a partial isometry, which is itself the universal C∗-algebra of a ∗-semigroup. A fundamental role for a ∗-structure on a semigroup is emphasized, ...
  • 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 ...
  • 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 ...
  • Piecewise Principal Coactions of Co-Commutative Hopf Algebras 
    Zieliński, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Principal comodule algebras can be thought of as objects representing principal bundles in non-commutative geometry. A crucial component of a principal comodule algebra is a strong connection map. For some applications it ...
  • 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 ...
  • Quantitative K-Theory Related to Spin Chern Numbers 
    Loring, T.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We examine the various indices defined on pairs of almost commuting unitary matrices that can detect pairs that are far from commuting pairs. We do this in two symmetry classes, that of general unitary matrices and that ...
  • 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 ...
  • Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles 
    Goswami, D.; Joardar, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    It is proved that the (volume and orientation-preserving) quantum isometry group of a spectral triple obtained by deformation by some dual unitary 2-cocycle is isomorphic with a similar twist-deformation of the quantum ...
  • Rigged Configurations and Kashiwara Operators 
    Sakamoto, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    For types An⁽¹⁾ and Dn⁽¹⁾ we prove that the rigged configuration bijection intertwines the classical Kashiwara operators on tensor products of the arbitrary Kirillov-Reshetikhin crystals and the set of the rigged configurations.
  • Scalar Flat Kähler Metrics on Affine Bundles over CP¹ 
    Honda, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We show that the total space of any affine C-bundle over CP¹ with negative degree admits an ALE scalar-flat Kähler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section ...

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