sigma10-029. 272KB Jun 04 2011 12:10:38 AM
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We reviewed how our gluing procedure for the poles of the Lax matrix of the Gaudin model can be applied in the quantum case to yield new quantum Gaudin algebras. Also, by means
Finally, using the representation theory of SU ( N ) group, we express the ordering of the lowest energy levels of different multiplets in terms of the dominance order of
It turns out that some part of the analysis presented in Section 2 and in particular the technical lemma given in Subsection 2.2 which underlies the construction of the
In this paper we study the level set structure of a one-dimensional cellular automaton known as the periodic box-ball system (pBBS) [ 2 , 3 ] and construct its invariant tori.. It
For the rational spectral variety, the BA-module elements and coefficients of commutating differential operators are expressed in terms of elementary functions.. Our initial idea was
We show that the corresponding maps can be characterized by certain singularity invariance con- dition, which leads to the 5 families of Yang–Baxter maps found in [ 1 ], as well as to
An important aspect of the geometry of the fuzzy 2-sphere involves the construction of fuzzy (matrix) spherical harmonics in SU(2) representations, which approach the space of
Because the restricted flows of soliton equations are just the stationary problems of SESCSs and the Lax pairs of restricted flows can always be deduced from the adjoint
