sigma08-086. 394KB Jun 04 2011 12:10:20 AM
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We investigate the symmetry algebras of integrable spin Calogero systems con- structed from Dunkl operators associated to finite Coxeter groups.. Based on two explicit examples, we
[18] Trim`eche K., The Dunkl intertwining operator on spaces of functions and distributions and integral repre- sentation of its dual,
Let R be a semi-local Noetherian integral domain SUCH THAT ALL ITS residue fields ARE INFINITE of characteristic different from 2... Let k be an infinite perfect field of
Considering right invariant L 2 or H 1 metrics on these infinite dimensional Lie groups, the following geodesic equations can be obtained: the Euler equation of motion of a
We give an example of the construction for some simple differential operators, and outline the use of the global relation in solving the classical problem associated with
Key words: invariant evolutions of curves; Hermitian symmetric spaces; Poisson brackets; differential invariants; projective differential invariants; equations of KdV type;
Reshetikhin [ 7 ] had developed the theory of intertwining operators for quantum affine algebras and had shown that the matrix elements of intertwiners satisfy the
In our opinion it is the boundary tridiagonal algebra of the symmetric exclusion process that allows for the exact solvability of the symmetric process in the stationary state and