Root Polytopes and Growth Series of Root Lattices
نویسندگان
چکیده
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 An, Cn and Dn, 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.
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عنوان ژورنال:
- SIAM J. Discrete Math.
دوره 25 شماره
صفحات -
تاریخ انتشار 2011