Consider [Herm.sup.-1.sub.1] (Q, [gamma]) as a pointed set with the isometry class of <[lambda]> as distinguished point.
We denote by [Herm.sup.[epsilon].sub.n] ([DELTA], [sigma]) the set of isometry classes of regular n-dimensional [epsilon]-hermitian forms over ([DELTA], [sigma]).
We therefore study some related geometric properties of these polytopes such as their pairs of parallel facets, their common vertices with the permutahedron, and their isometry classes. Further topics can be found in [Pil13].
ISOMETRY CLASSES. We say that two signed trees T and T' on signed ground sets V and V' respectively are isomorphic (resp.