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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:

  • Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation 
    Xue, L.L.; Liu, Q.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems 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 ...
  • Bicrossed Products, Matched Pair Deformations and the Factorization Index for Lie Algebras 
    Agore, A.L.; Militaru, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    For a perfect Lie algebra h we classify all Lie algebras containing h as a subalgebra of codimension 1. The automorphism groups of such Lie algebras are fully determined as subgroups of the semidirect product h⋉(k∗×AutLie(h)). ...
  • Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology 
    Manin, Y.I.; Marcolli, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We introduce some algebraic geometric models in cosmology related to the ''boundaries'' of space-time: Big Bang, Mixmaster Universe, Penrose's crossovers between aeons. We suggest to model the kinematics of Big Bang using ...
  • Center of Twisted Graded Hecke Algebras for Homocyclic Groups 
    Gan, W.L.; Highfield, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We determine explicitly the center of the twisted graded Hecke algebras associated to homocyclic groups. Our results are a generalization of formulas by M. Douglas and B. Fiol in [J. High Energy Phys. 2005 (2005), no. 9, ...
  • Commutative Families of the Elliptic Macdonald Operator 
    Saito, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In the paper [J. Math. Phys. 50 (2009), 095215, 42 pages], Feigin, Hashizume, Hoshino, Shiraishi, and Yanagida constructed two families of commuting operators which contain the Macdonald operator (commutative families of ...
  • Configurations of an Articulated Arm and Singularities of Special Multi-Flags 
    Pelletier, F.; Slayman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    P. Mormul has classified the singularities of special multi-flags in terms of “EKR class'' encoded by sequences j1,…,jk of integers (see [Singularity Theory Seminar, Warsaw University of Technology, Vol. 8, 2003, 87-100] ...
  • 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 ...
  • 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 ...

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