Polynomial deformations of sl(2,R) in a three-dimensional invariant subspace of monomials
Quantum Physics
2009-11-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0303062,
title = {Polynomial deformations of sl(2,R) in a three-dimensional invariant subspace of monomials},
author = {N. Debergh and J. Ndimubandi and B. Van den Bossche},
journal= {arXiv preprint arXiv:quant-ph/0303062},
year = {2009}
}