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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:

  • Deformations of the Canonical Commutation Relations and Metric Structures 
    D'Andrea, F.; Lizzi, F.; Martinetti, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Using Connes distance formula in noncommutative geometry, it is possible to retrieve the Euclidean distance from the canonical commutation relations of quantum mechanics. In this note, we study modifications of the distance ...
  • 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 ...
  • Dispersionless BKP Hierarchy and Quadrant Löwner Equation 
    Takebe, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We show that N-variable reduction of the dispersionless BKP hierarchy is described by a Löwner type equation for the quadrant.
  • Dynamics of an Inverting Tippe Top 
    Rauch-Wojciechowski, S.; Rutstam, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The existing results about inversion of a tippe top (TT) establish stability of asymptotic solutions and prove inversion by using the LaSalle theorem. Dynamical behaviour of inverting solutions has only been explored ...
  • Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral 
    Das, S.; Pramanik, S.; Ghosh, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this article, we discuss some well-known theoretical models where an observer-independent energy scale or a length scale is present. The presence of this invariant scale necessarily deforms the Lorentz symmetry. We study ...
  • Embedding Theorems for the Dunkl Harmonic Oscillator on the Line 
    Álvarez López, J.A.; Calaza, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Embedding results of Sobolev type are proved for the Dunkl harmonic oscillator on the line.
  • Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space 
    Miao, Yan-Gang; Wang, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Based on the Bogoliubov non-ideal gas model, we discuss the energy spectrum and phase transition of the superfluid Fermi gas of atoms with a weak attractive interaction on the canonical noncommutative space. Because the ...
  • Everywhere Equivalent 3-Braids 
    Stoimenow, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    A knot (or link) diagram is said to be everywhere equivalent if all the diagrams obtained by switching one crossing represent the same knot (or link). We classify such diagrams of a closed 3-braid.
  • Exact Free Energies of Statistical Systems on Random Networks 
    Sasakura, N.; Sato, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Statistical systems on random networks can be formulated in terms of partition functions expressed with integrals by regarding Feynman diagrams as random networks. We consider the cases of random networks with bounded but ...
  • Exploring the Causal Structures of Almost Commutative Geometries 
    Franco, N.; Eckstein, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We investigate the causal relations in the space of states of almost commutative Lorentzian geometries. We fully describe the causal structure of a simple model based on the algebra S(R¹,¹)⊗M₂(C), which has a non-trivial ...
  • Fukaya Categories as Categorical Morse Homology 
    Nadler, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The Fukaya category of a Weinstein manifold is an intricate symplectic invariant of high interest in mirror symmetry and geometric representation theory. This paper informally sketches how, in analogy with Morse homology, ...
  • Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit 
    Dugave, M.; Göhmann, F.; Kozlowski, K.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We establish several properties of the solutions to the linear integral equations describing the infinite volume properties of the XXZ spin-1/2 chain in the disordered regime. In particular, we obtain lower and upper bounds ...
  • Fusion Procedure for Cyclotomic Hecke Algebras 
    Ogievetsky, O.V.; Loïc Poulain d'Andecy (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    A complete system of primitive pairwise orthogonal idempotents for cyclotomic Hecke algebras is constructed by consecutive evaluations of a rational function in several variables on quantum contents of multi-tableaux. This ...
  • Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions 
    Dimitrijević, M.; Jonke, L.; Pachoł, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We review the application of twist deformation formalism and the construction of noncommutative gauge theory on κ-Minkowski space-time. We compare two different types of twists: the Abelian and the Jordanian one. In each ...
  • Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations 
    Henrique N. Sá Earp (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Adjusting conventional Chern-Simons theory to G₂-manifolds, one describes G₂-instantons on bundles over a certain class of 7-dimensional flat tori which fiber non-trivially over T⁴, by a pullback argument. Moreover, if ...
  • 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 ...
  • Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) 
    Marius van der Put; Top, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The Riemann-Hilbert approach for the equations PIII(D6) and PIII(D7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painlevé varieties, the Painlevé property, special solutions ...
  • Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable 
    Deriglazov, A.A.; Pupasov-Maksimov, A.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Basic notions of Dirac theory of constrained systems have their analogs in differential geometry. Combination of the two approaches gives more clear understanding of both classical and quantum mechanics, when we deal with ...
  • Geometry of Centroaffine Surfaces in R⁵ 
    Bushek, N.; Clelland, J.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R⁵∖{0} with nondegenerate centroaffine metric. We then give a complete ...
  • Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space 
    Paston, S.A.; Sheykin, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We study isometric embeddings of non-extremal Reissner-Nordström metric describing a charged black hole. We obtain three new embeddings in the flat ambient space with minimal possible dimension. These embeddings are global, ...

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