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

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

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  • 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 ...
  • Matrix Bases for Star Products: a Review 
    Lizzi, F.; Vitale, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We review the matrix bases for a family of noncommutative ⋆ products based on a Weyl map. These products include the Moyal product, as well as the Wick-Voros products and other translation invariant ones. We also review ...
  • 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 ...
  • Maximal Green Sequences of Exceptional Finite Mutation Type Quivers 
    Seven, A.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Maximal green sequences are particular sequences of mutations of quivers which were introduced by Keller in the context of quantum dilogarithm identities and independently by Cecotti-Córdova-Vafa in the context of ...
  • Modules with Demazure Flags and Character Formulae 
    Chari, V.; Schneider, L.; Shereen, P.; Wand, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this paper we study a family of finite-dimensional graded representations of the current algebra of sl₂ which are indexed by partitions. We show that these representations admit a flag where the successive quotients are ...
  • M-Theory with Framed Corners and Tertiary Index Invariants 
    Sati, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The study of the partition function in M-theory involves the use of index theory on a twelve-dimensional bounding manifold. In eleven dimensions, viewed as a boundary, this is given by secondary index invariants such as ...
  • Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows 
    Fujioka, A.; Kurose, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Higher KdV flows on spaces of closed equicentroaffine plane curves are studied and it is shown that the flows are described as certain multi-Hamiltonian systems on the spaces. Multi-Hamiltonian systems describing higher ...
  • Mystic Reflection Groups 
    Bazlov, Y.; Berenstein, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    This paper aims to systematically study mystic reflection groups that emerged independently in the paper [Selecta Math. (N.S.) 14 (2009), 325-372] by the authors and in the paper [Algebr. Represent. Theory 13 (2010), ...
  • 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 ...

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