Polynomial deformations of sl(2,R) in a three-dimensional invariant subspace of monomials

Details Polynomial deformations of sl(2,R) in a three-dimensional invariant subspace of monomials Polynomial deformations of sl(2,R) in a three-dimensional invariant subspace of monomials

2003-03-11

arxiv.org/abs/quant-ph/0303062v1

Physics

Quantum Physics

Scientific paper

10.1142/S0217732303010831

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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