3 problems

Orbit-model homeomorphism conjecture. The bijection

Orbit-model homeomorphism conjecture. The bijection $\Psi:\Delta(K,N)\to\mathcal{A}(K,N)$ is a homeomorphism for all nilpotent Gelfand pairs.

Let $(N,K)$ be a nilpotent Gelfand pair, let $\mathcal D=(D_1,\dots,D_d)$ be a $d$-tuple of self-adjoint generators of the algebra of left-invariant, $K$-invariant differential ope…