Minimal Polynomials of Generalized Heisenberg Groups

Abstract

Every homogeneous Riemannian C_0-space (N,g) is associated with its minimal polynomial. To provide explicit examples, we compute the minimal polynomials for generalized Heisenberg groups equipped with their canonical left-invariant metrics.

Minor corrections and additions, including the correction of an incorrect statement concerning the connectedness of the unramified locus. 101 pages