We want 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, we compute explicitly the Tutte polynomial for all exceptional root systems. A more systematic treatment of these topics will appear in a forthcoming book Topics in Hyperplane Arrangements, Polytopes and Box-Splines.
THE ZONOTOPE OF A ROOT SYSTEM / DE CONCINI, Corrado; Procesi, Claudio. - In: TRANSFORMATION GROUPS. - ISSN 1083-4362. - 13:3-4(2008), pp. 507-526. [10.1007/s00031-008-9031-z]
THE ZONOTOPE OF A ROOT SYSTEM
DE CONCINI, Corrado;PROCESI, Claudio
2008
Abstract
We want 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, we compute explicitly the Tutte polynomial for all exceptional root systems. A more systematic treatment of these topics will appear in a forthcoming book Topics in Hyperplane Arrangements, Polytopes and Box-Splines.File allegati a questo prodotto
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