sigma06-061. 336KB Jun 04 2011 12:09:53 AM
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properties of orbit functions described in this paper are implications of properties either of orbits of the group W (for description of reflection groups see, for example, [ 17 ] and
We show how single- and multispecies 1D Calogero models emerge from the matrix generalization of the single harmonic oscillator Hamiltonian [ 25 ], i.e.. we adopt a view that the
For a description of transitive and indecomposable systems of two subspaces of a Hilbert space, as well as for transitive and indecomposable triples of a finite dimensional
We start by using the Lie group method of infinitesimal transformations to find all the similarity reductions of the partial differential equation to ordinary differential
We prove that the relevant B¨acklund transformation preserves the reality of the n -soliton potentials and establish their pole structure with respect to the broadening parameter..
Gravity theories and differential geometry have been developed on differential manifolds where the functions form an algebra by pointwise multiplication:.. µ { f ⊗ g } = f
Using a homomorphism associated with the quantum Sylvester theorem, we provide an ex- plicit construction of the skew representations of the quantum affine algebra U q ( gl b n )..
In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenewold–Moyal Plane as examples of noncommutative spaces in physics1. We introduce