Наукова електронна бібліотека
періодичних видань НАН України

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:

  • Rigged Configurations and Kashiwara Operators 
    Sakamoto, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    For types An⁽¹⁾ and Dn⁽¹⁾ we prove that the rigged configuration bijection intertwines the classical Kashiwara operators on tensor products of the arbitrary Kirillov-Reshetikhin crystals and the set of the rigged configurations.
  • Scalar Flat Kähler Metrics on Affine Bundles over CP¹ 
    Honda, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We show that the total space of any affine C-bundle over CP¹ with negative degree admits an ALE scalar-flat Kähler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section ...
  • Schur Positivity and Kirillov-Reshetikhin Modules 
    Fourier, G.; Hernandez, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this note, inspired by the proof of the Kirillov-Reshetikhin conjecture, we consider tensor products of Kirillov-Reshetikhin modules of a fixed node and various level. We fix a positive integer and attach to each of its ...
  • Second Order Symmetries of the Conformal Laplacian 
    Michel, J.P.; Radoux, F.; Šilhan, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Let (M,g) be an arbitrary pseudo-Riemannian manifold of dimension at least 3. We determine the form of all the conformal symmetries of the conformal (or Yamabe) Laplacian on (M,g), which are given by differential operators ...
  • Selective Categories and Linear Canonical Relations 
    Li-Bland, D.; Weinstein, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    A construction of Wehrheim and Woodward circumvents the problem that compositions of smooth canonical relations are not always smooth, building a category suitable for functorial quantization. To apply their construction ...
  • Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction 
    Calderbank, D.M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    I present a construction of real or complex selfdual conformal 4-manifolds (of signature (2,2) in the real case) from a natural gauge field equation on a real or complex projective surface, the gauge group being the group ...
  • Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group 
    Biswas, I.; Gómez, T.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We investigate principal G-bundles on a compact Kähler manifold, where G is a complex algebraic group such that the connected component of it containing the identity element is reductive. Defining (semi)stability of such ...
  • Some Noncommutative Matrix Algebras Arising in the Bispectral Problem 
    Grünbaum, F.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    I revisit the so called ''bispectral problem'' introduced in a joint paper with Hans Duistermaat a long time ago, allowing now for the differential operators to have matrix coefficients and for the eigenfunctions, and one ...
  • Special Solutions and Linear Monodromy for the Two-Dimensional Degenerate Garnier System G(1112) 
    Kaneko, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We have classified special solutions around the origin for the two-dimensional degenerate Garnier system G(1112) with generic values of complex parameters, whose linear monodromy can be calculated explicitly.
  • Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere 
    Tirao, J.A.; Zurrián, I.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    n this paper, we describe the irreducible spherical functions of fundamental K-types associated with the pair (G,K)=(SO(n+1),SO(n)) in terms of matrix hypergeometric functions. The output of this description is that the ...
  • Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation 
    Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E₆⁽¹⁾ symmetry. We present a description of a set of symmetries of the ...
  • Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane 
    Batlle, C.; Gomis, J.; Kamimura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We study all the symmetries of the free Schrödinger equation in the non-commutative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg ...
  • Symmetry Groups of An Hypergeometric Series 
    Kajihara, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Structures of symmetries of transformations for Holman-Biedenharn-Louck An hypergeometric series: An terminating balanced ₄F₃ series and An elliptic ₁₀E₉ series are discussed. Namely the description of the invariance groups ...
  • Systems of Differential Operators and Generalized Verma Modules 
    Kubo, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this paper we close the cases that were left open in our earlier works on the study of conformally invariant systems of second-order differential operators for degenerate principal series. More precisely, for these ...
  • The Classification of All Crossed Products H₄#k[Cn] 
    Agore, A.L.; Bontea, C.G.; Militaru, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Using the computational approach introduced in [Agore A.L., Bontea C.G., Militaru G., J. Algebra Appl. 12 (2013), 1250227, 24 pages] we classify all coalgebra split extensions of H₄ by k[Cn], where Cn is the cyclic group ...
  • 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.
  • 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 ...
  • The GraviGUT Algebra Is not a Subalgebra of E₈, but E₈ Does Contain an Extended GraviGUT Algebra 
    Douglas, A.; Repka, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The (real) GraviGUT algebra is an extension of the spin(11,3) algebra by a 64-dimensional Lie algebra, but there is some ambiguity in the literature about its definition. Recently, Lisi constructed an embedding of the ...
  • The Heisenberg Relation - Mathematical Formulations 
    Kadison, R.V.; Liu, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We study some of the possibilities for formulating the Heisenberg relation of quantum mechanics in mathematical terms. In particular, we examine the framework discussed by Murray and von Neumann, the family (algebra) of ...
  • The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy 
    Zabrodin, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Following the approach of [Alexandrov A., Kazakov V., Leurent S., Tsuboi Z., Zabrodin A., J. High Energy Phys. 2013 (2013), no. 9, 064, 65 pages, arXiv:1112.3310], we show how to construct the master T-operator for the ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис