sigma11-009. 440KB Jun 04 2011 12:10:47 AM
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Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups.. We verify that the elementary canonical invariants of the sym- metric
We apply the Painlev´e test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by
[4] Branson T., Nonlinear phenomena in the spectral theory of geometric linear differential operators, in Quan- tization, Nonlinear Partial Differential Equations, and Operator
Surprisingly, the on-shell actions, with all auxiliary fields eliminated, admit a direct extension to the gauge group SU(N) and general self-dual backgrounds [ 19 , 20 , 21 ].. It
The first is to give an orbital description of the decomposition of τ into irreducibles, in the case when G is a connected, simply connected one-parameter metabelian nilpotent
Using Legendre transformation in three variables, including the remaining group parameter, we arrived at linear partial differential equations with constant coefficients which
By considering the fact that several of the translations on the lattice of connection preserving deformations present equivalent evolution equations, we recover an automorphism
The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4 , ℜ ), whose maximal compact subgroup is the Fourier group U(2) F ; this
