Root Polytopes and Growth Series of Root Lattices

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 we compute their f- and h-vectors. This leads us to recover formulae for the...

Full description

Saved in:

Bibliographic Details
Published in:	SIAM journal on discrete mathematics Vol. 25; no. 1; pp. 360 - 378
Main Authors:	Ardila, Federico, Beck, Matthias, Hoşten, Serkan, Pfeifle, Julian, Seashore, Kim
Format:	Journal Article Publication
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011
Subjects:	05 Combinatorics 05A Enumerative combinatorics 11 Number theory 11H Geometry of numbers 52 Convex and discrete geometry 52C Discrete geometry Algebra Anàlisi combinatòria Boundaries Classificació AMS Combinatorial analysis Combinatorics Combinatorics. Ordered structures Convex and discrete geometry Discrete geometry Exact sciences and technology Geometria Geometria convexa i discreta Geometria discreta Geometry Hulls Hulls (structures) Lattice theory Lattices Matemàtiques i estadística Mathematical analysis Mathematical models Mathematics Nombres, Teoria dels Number theory Order, lattices, ordered algebraic structures Polynomials Polytopes Roots Sciences and techniques of general use Studies Àrees temàtiques de la UPC Polynomial Polytope f-vector Modification Triangulation 11H06 Lattice 52C07 Convex hull coordinator polynomial growth series Discrete mathematics root polytope unimodular triangulation Vector 05A15 root lattice
ISSN:	0895-4801, 1095-7146
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!