Generation of the operator of the xxx transfer matrix or gaudin has a quasi-administrative nucleus
Petersburg department of the mathematical institute of steklov, fontanka 27, peter, 191023, russia c) the mathematics department, the university of northern carolina in chapel hill, chapel hill, north carolina 27599-3250, us @>
Received march 28, 2007.; Published online april 25, 2007.
Annotation let the m -tenzor of the product of the ultimately polynomial assessment y (gln) -mudeles. Consider the universal difference operator d = ån k = 0 (-1) k tk (u) e-k¶u, whose coefficients tk (u): m ® m-matrix xxx are associated with m. We show that the distinct equation df = 0 for the m-meaning of the f-functions f is the basis for solutions consisting of quasi-exponential. We prove one for the universal differential operator d = ånk = 0 (-1) ksk (u) ¶un-k, whose coefficients sk (u): m® m are matrices of the gaudin gear dimensional polynomial rating gln [x] -mudules.
Termine keys: model gaudin; xxx model; universal differential operator.
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