Polynomial deformations of sl(2,R) in a three-dimensional invariant subspace of monomials
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deformationsfinite-dimensionalmonomialspolynomialsubspacethree-dimensionalconcentrateconstructed
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New finite-dimensional representations of specific polynomial deformations of sl(2,R) are constructed. The corresponding generators can be, in particular, realized through linear differential operators preserving a finite-dimensional subspace of monomials. We concentrate on three-dimensional spaces.
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