2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68579In this paper is constructed an algebraic deformation quantization of the coadjoint orbits of the group G semidirect product of the symmetric n by n matrices and GL(n). This group is linked to the dynamics of the self gravitating ellipsoid.Quantum AlgebraOn the Dynamics of the Self Gravitating Ellipsoid in N dimensions and its Deformation Quantizationtext