On double coset decompositions of real reductive groups for reductive absolutely spherical subgroups
In the paper under review the author studies the double coset decomposition \(H\backslash G/L\) of a real reductive Lie group \(G\) with respect to reductive absolutely spherical subgroups \(H\) and \(L\). By the induction combined with computations for some minimal cases and reductions of some double coset spaces to more smaller groups, the author describes generic double cosets for reductive absolutely spherical pairs with some exceptions. The exceptional cases to which the argument of this article cannot be applied arise from some factorizations of type \(D_4\)-groups. For the entire collection see [Zbl 1477.43001].
scientific article; zbMATH DE number 7464628
scientific article