Lie algebras and polynomials in one variable
- 21 September 1992
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 25 (18) , L1087-L1093
- https://doi.org/10.1088/0305-4470/25/18/001
Abstract
A classification of linear differential and difference equations in one variable having polynomial solutions (the generalized Bochner problem) is presented. The idea of the approach is based on consideration of the eigenvalue problem for a polynomial in generators of the algebra sl2(R) (for differential equations) or sl2(R)q (for finite-difference equation) given in the finite-dimensional 'projectivized' representation.Keywords
This publication has 2 references indexed in Scilit:
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