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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:

  • Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation 
    Nakazono, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We consider a q-Painlevé IV equation which is the A₄⁽¹⁾-surface type in the Sakai's classification. We find three distinct types of classical solutions with determinantal structures whose elements are basic hypergeometric ...
  • Hyperkähler Manifolds of Curves in Twistor Spaces 
    Bielawski, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We discuss hypercomplex and hyperkähler structures obtained from higher degree curves in complex spaces fibring over P¹.
  • Induced Representations and Hypergroupoids 
    Renault, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We review various notions of correspondences for locally compact groupoids with Haar systems, in particular a recent definition due to R.D. Holkar. We give the construction of the representations induced by such a ...
  • Integrable Background Geometries 
    Calderbank, D.M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable ...
  • Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency 
    Caudrelier, V.; Crampé, N.; Zhang, Q.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We propose the notion of integrable boundary in the context of discrete integrable systems on quad-graphs. The equation characterizing the boundary must satisfy a compatibility equation with the one characterizing the bulk ...
  • Integrable Systems Related to Deformed so(5) 
    Dobrogowska, A.; Odzijewicz, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We investigate a family of integrable Hamiltonian systems on Lie-Poisson spaces L+(5) dual to Lie algebras soλ,α(5) being two-parameter deformations of so(5). We integrate corresponding Hamiltonian equations on L+(5) and ...
  • Invariant Poisson Realizations and the Averaging of Dirac Structures 
    Vallejo, J.A.; Vorobiev, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We describe an averaging procedure on a Dirac manifold, with respect to a class of compatible actions of a compact Lie group. Some averaging theorems on the existence of invariant realizations of Poisson structures around ...
  • 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 ...

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