On polytopes associated to factorisations of prime-powers

Roland Bacher (1)

1 IF - Institut Fourier

We study polytopes associated to factorisations of prime powers. These polytopes have explicit descriptions either in terms of their vertices or as intersections of closed halfspaces associated to their facets. We give formulae for their $f-$vectors.

Keywords: Polytope; Prime-power; Symmetric positive definite matrix

Domains: Combinatorics [math.CO]

Roland Bacher. On polytopes associated to factorisations of prime-powers. 2008. ⟨hal-00330028⟩