The zonotope of a root system
type: Item
instance of: scholarly article
title: The zonotope of a root system
zbMATH Open document ID: 1170.52002
author: Corrado De Concini
author: Claudio Procesi
published in: Transformation Groups
publication date: 2009-06-17T00:00:00Z
review text: The purpose of the paper is to explain some formulas appearing in connection with root systems and their zonotopes which are relevant for the theory of the Kostant partition function. In particular, the authors present the Tutte polynomial for all exceptional root systems by a computer assisted computation. The authors promise a more systematic treatment of these topics will appear in a forthcoming book \textit{Topics in Hyperplane Arrangements, Polytopes and Box-Splines}.
Mathematics Subject Classification ID: 52C35
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 17B22
zbMATH DE Number: 5565879
zbMATH Keywords: Tutte polynomial
zbMATH Keywords: root system
reviewed by: Kelly J. Pearson
MaRDI profile type: Publication
full work available at URL: s00031-008-9031-z
OpenAlex ID: W2048276780
cites work: Computing the Tutte polynomial of a hyperplane arragement
cites work: Q2774024
cites work: The Tutte polynomial
cites work: Topics in hyperplane arrangements, polytopes and box-splines
cites work: Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension
cites work: Q3998721
cites work: Lie algebra cohomology and the generalized Borel-Weil theorem
cites work: Q3663320
cites work: A Characterization of a Special Ordering in a Root System
cites work: Lie groups. An approach through invariants and representations
cites work: A Contribution to the Theory of Chromatic Polynomials
DOI: 10.1007/S00031-008-9031-Z
description: scientific article; zbMATH DE number 5565879