Deaño Cabrera, AlfredoEijsvoogel, BrunoRomán, Pablo2021-03-022021-03-022021-02Deaño, A., Eijsvoogel, B., Román, P. (2020). Ladder relations for a class of matrix valued orthogonal polynomials. Studies in Applied Mathematics, 146(2), 463–497.0022-2526https://hdl.handle.net/10016/32063Using the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials (MVOPs) on R, and we derive algebraic and differential relations for these MVOPs. A particular case of importance is that of MVOPs with respect to a matrix weight of the form W(x)=e-v(x) exAexA* on the real line, where v is a scalar polynomial of even degree with positive leading coefficient and A is a constant matrix.35eng© 2020 The AuthorsAtribución 3.0 EspañaIntegrable systemsLadder relationsMathematical physicsNon-Abelian Toda latticeOrthogonal polynomialsresearch articleMatemáticashttps://doi.org/10.1111/sapm.12351open access4632497Studies in Applied Mathematics146AR/0000026487