Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact type

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74155A basic exact sequence by Harish-Chandra related to the invariant differential operators on a Riemannian symmetric space G/K is generalized for each K-type in a certain class which we call `single-petaled'. The argument also includes a further generalization of Broer's generalization of the Chevalley restriction theorem.34 pages, AMS-LaTeX, txfonts.sty, mathrsfs.styRepresentation TheoryGroup Theory22E46; 16S30Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact typetext