sigma07-058. 289KB Jun 04 2011 12:10:03 AM
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Key words: alternating sign matrices; Young tableaux; staircases; Schubert polynomials; integrable systems.. 2000 Mathematics Subject Classification:
We prove the existence of an analogous bifibrated geometry in dynamical systems with a symmetry group such that the reduced dynamics is periodic.. The integrability of such systems
This paper presents an explicit form of the action of the intertwining operator on polynomials by use of harmonic and Jacobi polynomials.. It is the symmetry group of the regular 2
In the subsequent sections we apply the basic definition to the following partial differential equations and systems: nonlinear Poisson equations, p-Laplace equations,
A GBDT version of the B¨acklund–Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models..
(Let us recall that the quasi-regular representation of SO 0 (1 , 4) on the Hilbert space L 2 ( H + 4 ) decomposes into a direct integral of irreducible unitary representations of
In this picture, the Coulomb interaction energy between two charges and their effective images created by the boundary conditions plays the role of the soliton phase shifts,
Abstract. We study an integrable case of n -particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a B¨acklund transformation
