K-Invariants in the universal enveloping algebra of the Desitter Group.
A Transversality property of a derivation of the universal enverloping algebra U (k), for SO (n,1) and SU (n,1).
On the centralizer of K in the universal enveloping algebra of SO(n,1) and SU(n,1).
Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory
The main purpose of this paper is to present new families of Jacobi type matrix valued orthogonal polynomials obtained from the underlying group and its representations. These polynomials are eigenfunctions of some symmetric second order hypergeometric differential operator with matrix coefficients. The final result holds for arbitrary values of the parameters , but it is derived only for those values that come from the group theoretical setup.
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