Quommutator Deformations of Spl(n,1)
نویسنده
چکیده
We analyse the Witten-Woronowicz's type deformations of the Lie superalgebras spl(N, 1) and obtain deformations parametrized by N (N − 1)/2 independent parameters for N > 2 and by three parameters for N = 2. For some of these algebras, finite dimensional representations can be constructed in terms of finite difference operators , providing operators that are relevant for the classification of quasi exactly solvable, finite difference equations.
منابع مشابه
ar X iv : q - a lg / 9 71 00 18 v 1 1 4 O ct 1 99 7 spl ( p , q ) superalgebra and differential operators
Series of finite dimensional representations of the superalgebras spl(p,q) can be formulated in terms of linear differential operators acting on a suitable space of polynomials. We sketch the general ingredients necessary to construct these representations and present examples related to spl(2,1) and spl(2,2). By revisiting the products of projectivised representations of sl(2), we are able to ...
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