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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Factorizable R-Matrices for Small Quantum Groups 
    Lentner, S.; Ohrmann, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Representations of small quantum groups uq(g) at a root of unity and their extensions provide interesting tensor categories, that appear in different areas of algebra and mathematical physics. There is an ansatz by Lusztig ...
  • Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions 
    Haga, J.; Maitra, R.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We develop a mathematically rigorous path integral representation of the time evolution operator for a model of (1+1) quantum gravity that incorporates factor ordering ambiguity. In obtaining a suitable integral kernel for ...
  • Formal Integrals and Noether Operators of Nonlinear Hyperbolic Partial Differential Systems Admitting a Rich Set of Symmetries 
    Startsev, S.Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The paper is devoted to hyperbolic (generally speaking, non-Lagrangian and nonlinear) partial differential systems possessing a full set of differential operators that map any function of one independent variable into a ...
  • Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems 
    Kawakami, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This is the last part of a series of three papers entitled ''Four-dimensional Painlevé-type equations associated with ramified linear equations''. In this series of papers we aim to construct the complete degeneration ...
  • G-Invariant Deformations of Almost-Coupling Poisson Structures 
    Vallejo, J.A.; Vorobiev, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    On a foliated manifold equipped with an action of a compact Lie group G, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging.
  • GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities 
    Zhou, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The GKZ system for the Hesse pencil of elliptic curves has more solutions than the period integrals. In this work we give different realizations and interpretations of the extra solution, in terms of oscillating integral, ...
  • Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds 
    Işim Efe, M.; Abadoğlu, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this work, we show that an autonomous dynamical system defined by a nonvanishing vector field on an orientable three-dimensional manifold is globally bi-Hamiltonian if and only if the first Chern class of the normal ...
  • Gustafson-Rakha-Type Elliptic Hypergeometric Series 
    Rosengren, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We prove a multivariable elliptic extension of Jackson's summation formula conjectured by Spiridonov. The trigonometric limit case of this result is due to Gustafson and Rakha. As applications, we obtain two further ...
  • Highest ℓ-Weight Representations and Functional Relations 
    Nirov, K.S.; Razumov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We discuss highest ℓ-weight representations of quantum loop algebras and the corresponding functional relations between integrability objects. In particular, we compare the prefundamental and q-oscillator representations ...
  • Hodge Numbers from Picard-Fuchs Equations 
    Doran, C.F.; Harder, A.; Thompson, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Given a variation of Hodge structure over P¹ with Hodge numbers (1,1,…,1), we show how to compute the degrees of the Deligne extension of its Hodge bundles, following Eskin-Kontsevich-Möller-Zorich, by using the local ...
  • Integrability, Quantization and Moduli Spaces of Curves 
    Rossi, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This paper has the purpose of presenting in an organic way a new approach to integrable (1+1)-dimensional field systems and their systematic quantization emerging from intersection theory of the moduli space of stable ...
  • Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality 
    Fateev, V.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy). We construct the factorized ...
  • Integrable Structure of Multispecies Zero Range Process 
    Kuniba, A.; Okado, M.; Watanabe, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We present a brief review on integrability of multispecies zero range process in one dimension introduced recently. The topics range over stochastic R matrices of quantum affine algebra Uq(An⁽¹⁾), matrix product construction ...
  • Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach 
    Rim, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We present recent developments of irregular conformal conformal states. Irregular vertex operators and their adjoint in a new formalism are used to define the irregular conformal states and their inner product instead of ...
  • Isomonodromy for the Degenerate Fifth Painlevé Equation 
    Acosta-Humánez, P.B.; van der Put, M.; Top, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This is a sequel to papers by the last two authors making the Riemann-Hilbert correspondence and isomonodromy explicit. For the degenerate fifth Painlevé equation, the moduli spaces for connections and for monodromy are ...
  • James' Submodule Theorem and the Steinberg Module 
    Geck, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    James' submodule theorem is a fundamental result in the representation theory of the symmetric groups and the finite general linear groups. In this note we consider a version of that theorem for a general finite group with ...
  • Klein's Fundamental 2-Form of Second Kind for the Cab Curves 
    Suzuki, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, we derive the exact formula of Klein's fundamental 2-form of second kind for the so-called Cab curves. The problem was initially solved by Klein in the 19th century for the hyper-elliptic curves, but little ...
  • Lagrangian Mechanics and Reduction on Fibered Manifolds 
    Li, S.; Stern, A.; Tang, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This paper develops a generalized formulation of Lagrangian mechanics on fibered manifolds, together with a reduction theory for symmetries corresponding to Lie groupoid actions. As special cases, this theory includes not ...
  • Liouville Correspondences between Integrable Hierarchies 
    Kang, J.; Liu, X.; Olver, P.J.; Qu, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, we study explicit correspondences between the integrable Novikov and Sawada-Kotera hierarchies, and between the Degasperis-Procesi and Kaup-Kupershmidt hierarchies. We show how a pair of Liouville transformations ...
  • Local Generalized Symmetries and Locally Symmetric Parabolic Geometries 
    Gregorovič, J.; Zalabová, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We investigate (local) automorphisms of parabolic geometries that generalize geodesic symmetries. We show that many types of parabolic geometries admit at most one generalized geodesic symmetry at a point with non-zero ...

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