Sistema ETD

Archivio digitale delle tesi discusse presso l'Università di Pisa

 

Tesi etd-01132015-163730


Tipo di tesi
Tesi di laurea specialistica
Autore
GALASSI, ELEONORA
URN
etd-01132015-163730
Titolo
Nestohedra associated with root systems
Struttura
MATEMATICA
Corso di studi
MATEMATICA
Commissione
relatore Gaiffi, Giovanni
Parole chiave
  • root systems
  • nestohedra
  • group action
  • euler characteristic
  • nested sets
  • building sets
Data inizio appello
30/01/2015;
Consultabilità
completa
Riassunto analitico
The idea of this thesis moves from the article "Permutonestohedra", in which a family of polytopes, dubbed permutonestohedra is described. These polytopes are related to some important objects in algebra, combinatorics and
geometry: root systems, Weyl groups, building sets and nested sets, compacti cations of con guration
spaces. We start presenting nestohedra, then we consider their convex hull, that is the permutonestohedron. We come back to nestohedra to consider other group actions and to conclude this thesis we compute the Euler characteristic of the manyfold obtained by identification of nestohedra that are in opposite Weyl chambers.
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