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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Schur Superpolynomials: Combinatorial Definition and Pieri Rule 
    Blondeau-Fournier, O.; Mathieu, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Schur superpolynomials have been introduced recently as limiting cases of the Macdonald superpolynomials. It turns out that there are two natural super-extensions of the Schur polynomials: in the limit q=t=0 and q=t→∞, ...
  • Simplex and Polygon Equations 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    It is shown that higher Bruhat orders admit a decomposition into a higher Tamari order, the corresponding dual Tamari order, and a ''mixed order''. We describe simplex equations (including the Yang-Baxter equation) as ...
  • Skein Modules from Skew Howe Duality and Affine Extensions 
    Queffelec, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We show that we can release the rigidity of the skew Howe duality process for sln knot invariants by rescaling the quantum Weyl group action, and recover skein modules for web-tangles. This skew Howe duality phenomenon can ...
  • Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain 
    Belliard, S.; Pimenta, R.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We consider the XXX spin-1/2 Heisenberg chain on the circle with an arbitrary twist. We characterize its spectral problem using the modified algebraic Bethe anstaz and study the scalar product between the Bethe vector and ...
  • Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests 
    Levi, D.; Martina, L.; Winternitz, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The main purpose of this article is to show how symmetry structures in partial differential equations can be preserved in a discrete world and reflected in difference schemes. Three different structure preserving discretizations ...
  • Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems 
    Heinonen, R.; Kalnins, E.G.; Miller Jr., W.; Subag, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Two-dimensional quadratic algebras are generalizations of Lie algebras that include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly ...
  • Tableau Formulas for One-Row Macdonald Polynomials of Types Cn and Dn 
    Feigin, B.; Hoshino, A.; Noumi, M.; Shibahara, J.; Shiraishi, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We present explicit formulas for the Macdonald polynomials of types Cn and Dn in the one-row case. In view of the combinatorial structure, we call them ''tableau formulas''. For the construction of the tableau formulas, ...
  • The Combinatorics of Associated Laguerre Polynomials 
    Kim, J.S.; Stanton, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The explicit double sum for the associated Laguerre polynomials is derived combinatorially. The moments are described using certain statistics on permutations and permutation tableaux. Another derivation of the double sum ...
  • The Feigin Tetrahedron 
    Rupel, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The first goal of this note is to extend the well-known Feigin homomorphisms taking quantum groups to quantum polynomial algebras. More precisely, we define generalized Feigin homomorphisms from a quantum shuffle algebra ...
  • The Quantum Pair of Pants 
    Klimek, S.; Mcbride, M.; Rathnayake, S.; Sakai, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We compute the spectrum of the operator of multiplication by the complex coordinate in a Hilbert space of holomorphic functions on a disk with two circular holes. Additionally we determine the structure of the C∗-algebra ...
  • The Stokes Phenomenon and Some Applications 
    Marius van der Put (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Multisummation provides a transparent description of Stokes matrices which is reviewed here together with some applications. Examples of moduli spaces for Stokes matrices are computed and discussed. A moduli space for a ...
  • Three-Phase Freak Waves 
    Smirnov, A.O.; Matveenko, S.G.; Semenov, S.K.; Semenova, E.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic ''freak waves''. We ...
  • Time and Band Limiting for Matrix Valued Functions, an Example 
    Grünbaum, F.A.; Pacharoni, I.; Zurrián, I.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the ...
  • Topological Monodromy of an Integrable Heisenberg Spin Chain 
    Lane, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We investigate topological properties of a completely integrable system on S²×S²×S² which was recently shown to have a Lagrangian fiber diffeomorphic to RP³ not displaceable by a Hamiltonian isotopy [Oakley J., Ph.D. Thesis, ...
  • T-Path Formula and Atomic Bases for Cluster Algebras of Type D 
    Gunawan, E.; Musiker, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We extend a T-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a ...
  • Uniform Asymptotics of Orthogonal Polynomials Arising from Coherent States 
    Dai, D.; Hu, W.; Wang, X.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In this paper, we study a family of orthogonal polynomials {ϕn(z)} arising from nonlinear coherent states in quantum optics. Based on the three-term recurrence relation only, we obtain a uniform asymptotic expansion of ...
  • Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities 
    Adamović, D.; Lin, X.; Milas, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We consider AD-type orbifolds of the triplet vertex algebras W(p) extending the well-known c=1 orbifolds of lattice vertex algebras. We study the structure of Zhu's algebras A(W(p)Am) and A(W(p)Dm), where Am and Dm are ...
  • Weil Representation of a Generalized Linear Group over a Ring of Truncated Polynomials over a Finite Field Endowed with a Second Class Involution 
    Gutiérrez Frez, L.; Pantoja, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We construct a complex linear Weil representation ρ of the generalized special linear group G=SL¹∗(2,An) (An=K[x]/⟨xⁿ⟩, K the quadratic extension of the finite field k of q elements, q odd), where An is endowed with a ...

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