Наукова електронна бібліотека
періодичних видань НАН України

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:

  • Locally Compact Quantum Groups. A von Neumann Algebra Approach 
    Alfons Van Daele (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this paper, we give an alternative approach to the theory of locally compact quantum groups, as developed by Kustermans and Vaes. We start with a von Neumann algebra and a comultiplication on this von Neumann algebra. ...
  • Local Proof of Algebraic Characterization of Free Actions 
    Baum, P.F.; Hajac, P.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Let G be a compact Hausdorff topological group acting on a compact Hausdorff topological space X. Within the C∗-algebra C(X) of all continuous complex-valued functions on X, there is the Peter-Weyl algebra PG(X) which is ...
  • Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras 
    Aizawa, N.; Chandrashekar, R.; Segar, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The conformal Galilei algebra (CGA) is a non-semisimple Lie algebra labelled by two parameters d and ℓ. The aim of the present work is to investigate the lowest weight representations of CGA with d=1 for any integer value ...
  • 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 ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис