Polynomial Relations in the Centre of U q ( sl ( N ) )
نویسنده
چکیده
When the parameter of deformation q is a root of unity, the centre of Uq(sl(N)) contains, besides the usual q-deformed Casimirs, a set of new generators, which are basically the m-th powers of all the Cartan generators of Uq(sl(N)). All these central elements are however not independent. In this letter, generalising the well-known case of Uq(sl(2)), we explicitly write polynomial relations satisfied by the generators of the centre. Application to the parametrization of irreducible representations and to fusion rules are sketched.
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تاریخ انتشار 1993