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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Configurations of points and the symplectic Berry-Robbins problem 
    Malkoun, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We present a new problem on configurations of points, which is a new version of a similar problem by Atiyah and Sutcliffe, except it is related to the Lie group Sp(n), instead of the Lie group U(n). Denote by h a Cartan ...
  • 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 ...
  • Demazure Modules, Chari–Venkatesh Modules and Fusion Products 
    Ravinder, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Let g be a finite-dimensional complex simple Lie algebra with highest root θ. Given two non-negative integers m, n, we prove that the fusion product of m copies of the level one Demazure module D(1,θ) with n copies of the ...
  • 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 ...
  • The Freiheitssatz for Generic Poisson Algebras 
    Kolesnikov, P.S.; Makar-Limanov, L.G.; Shestakov, I.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We prove the Freiheitssatz for the variety of generic Poisson algebras.
  • 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 ...
  • 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 ...
  • 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 ...
  • The Generic Superintegrable System on the 3-Sphere and the 9j Symbols of su(1, 1) 
    Vincent X. Genest; Vinet, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The 9j symbols of su(1,1) are studied within the framework of the generic superintegrable system on the 3-sphere. The canonical bases corresponding to the binary coupling schemes of four su(1,1) representations are constructed ...
  • Wong's Equations and Charged Relativistic Particles in Non-Commutative Space 
    Balasin, H.; Blaschke, D.N.; Gieres, F.; Schweda, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In analogy to Wong's equations describing the motion of a charged relativistic point particle in the presence of an external Yang-Mills field, we discuss the motion of such a particle in non-commutative space subject to ...
  • 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 ...
  • 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 ...
  • The Variety of Integrable Killing Tensors on the 3-Sphere 
    Schöbel, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Integrable Killing tensors are used to classify orthogonal coordinates in which the classical Hamilton-Jacobi equation can be solved by a separation of variables. We completely solve the Nijenhuis integrability conditions ...
  • Algebraic Geometry of Matrix Product States 
    Critch, A.; Morton, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We quantify the representational power of matrix product states (MPS) for entangled qubit systems by giving polynomial expressions in a pure quantum state's amplitudes which hold if and only if the state is a translation ...
  • A=U for Locally Acyclic Cluster Algebras 
    Muller, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    This note presents a self-contained proof that acyclic and locally acyclic cluster algebras coincide with their upper cluster algebras.
  • Generalized Coefficients for Hopf Cyclic Cohomology 
    Hassanzadeh, M.; Kucerovsky, D.; Rangipour, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    A category of coefficients for Hopf cyclic cohomology is defined. It is shown that this category has two proper subcategories of which the smallest one is the known category of stable anti Yetter-Drinfeld modules. 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 ...
  • Group Momentum Space and Hopf Algebra Symmetries of Point Particles Coupled to 2+1 Gravity 
    Arzano, M.; Latini, D.; Lotito, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We present an in-depth investigation of the SL(2,R) momentum space describing point particles coupled to Einstein gravity in three space-time dimensions. We introduce different sets of coordinates on the group manifold and ...
  • Beables/Observables in Classical and Quantum Gravity 
    Anderson, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Observables 'are observed' whereas beables just 'are'. This gives beables more scope in the cosmological and quantum domains. Both observables and beables are entities that form 'brackets' with 'the constraints' that are ...
  • 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 ...

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