Mathematics – Combinatorics
Scientific paper
2008-09-30
Mathematics
Combinatorics
17 pages, 3 figures
Scientific paper
The convex hull of the roots of a classical root lattice is called a root polytope. We determine explicit unimodular triangulations of the boundaries of the root polytopes associated to the root lattices A_n, C_n, and D_n, and compute their f-and h-vectors. This leads us to recover formulae for the growth series of these root lattices, which were first conjectured by Conway-Mallows-Sloane and Baake-Grimm and proved by Conway-Sloane and Bacher-de la Harpe-Venkov.
Ardila Federico
Beck Matthias
Hosten Serkan
Pfeifle Julian
Seashore Kim
No associations
LandOfFree
Root polytopes and growth series of root lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Root polytopes and growth series of root lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Root polytopes and growth series of root lattices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-252181