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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • 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, ...
  • Teichmüller Theory of Bordered Surfaces 
    Chekhov, L.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We propose the graph description of Teichmüller theory of surfaces with marked points on boundary components (bordered surfaces). Introducing new parameters, we formulate this theory in terms of hyperbolic geometry. We can ...
  • The 2-Transitive Transplantable Isospectral Drums 
    Schillewaert, J.; Thas, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    For Riemannian manifolds there are several examples which are isospectral but not isometric, see e.g. J. Milnor [Proc. Nat. Acad. Sci. USA 51 (1964), 542]; in the present paper, we investigate pairs of domains in R² which ...
  • The 6 Vertex Model and Schubert Polynomials 
    Lascoux, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We enumerate staircases with fixed left and right columns. These objects correspond to ice-configurations, or alternating sign matrices, with fixed top and bottom parts. The resulting partition functions are equal, up to ...
  • The Algebra of a q-Analogue of Multiple Harmonic Series 
    Takeyama, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce an algebra which describes the multiplication structure of a family of q-series containing a q-analogue of multiple zeta values. The double shuffle relations are formulated in our framework. They contain a ...
  • The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries 
    de la Madrid, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain ...
  • The Asymptotic Expansion of Kummer Functions for Large Values of the α-Parameter, and Remarks on a Paper by Olver 
    Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    It is shown that a known asymptotic expansion of the Kummer function U(a,b,z) as a tends to infinity is valid for z on the full Riemann surface of the logarithm. A corresponding result is also proved in a more general ...
  • The BGG Complex on Projective Space 
    Eastwood, M.G.; Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
  • The BGG Complex on Projective Space 
    Eastwood, M.G.; Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
  • The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas 
    Anderson, I.M.; Fels, M.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group. This article shows that solving the Cauchy problem for a Darboux ...
  • The Chazy XII Equation and Schwarz Triangle Functions 
    Bihun, O.; Chakravarty, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Dubrovin [Lecture Notes in Math., Vol. 1620, Springer, Berlin, 1996, 120-348] showed that the Chazy XII equation y′′′−2yy′′+3y′²=K(6y′−y²)², K∈C, is equivalent to a projective-invariant equation for an affine connection ...
  • 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 Clifford Deformation of the Hermite Semigroup 
    De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This paper is a continuation of the paper [De Bie H., Ørsted B., Somberg P., Souček V., Trans. Amer. Math. Soc. 364 (2012), 3875–3902], investigating a natural radial deformation of the Fourier transform in the setting of ...
  • 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 Construction of Spin Foam Vertex Amplitudes 
    Bianchi, E.; Hellmann, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Spin foam vertex amplitudes are the key ingredient of spin foam models for quantum gravity. These fall into the realm of discretized path integral, and can be seen as generalized lattice gauge theories. They can be seen ...
  • The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions 
    Sabau, S.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that the co-rays to a ray in a complete non-compact Finsler manifold contain geodesic segments to upper level sets of Busemann functions. Moreover, we characterise the co-point set to a ray as the cut locus of such ...
  • The Decomposition of Global Conformal Invariants: Some Technical Proofs. I 
    Alexakis, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This paper forms part of a larger work where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ''global conformal invariants''; these are defined to be conformally invariant integrals of ...
  • The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature 
    Guo, E.; Mo, X.; Zhang, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    By using the Hawking Taub-NUT metric, this note gives an explicit construction of a 3-parameter family of Einstein Finsler metrics of non-constant flag curvature in terms of navigation representation.
  • 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 Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular r-Matrix 
    Mouquin, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We reformulate the Poisson structure discovered by Fock and Rosly on moduli spaces of flat connections over marked surfaces in the framework of Poisson structures defined by Lie algebra actions and quasitriangular r-matrices, ...

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