Paola Cellini

activity

20012021

most citedRoot polytopes and Borel subalgebras

18 citations · 47 across the 13 of their papers we have counts for

collaborators

14 papers

math.CO2021

Root systems, affine subspaces, and projections

Paola Cellini, Mario Marietti

We tackle several problems related to a finite irreducible crystallographic root system $Φ$ in the real vector space $E$ . In particular, we study the combinatorial structur…

math.CO2016

Triangulations of root polytopes

Paola Cellini

Let $Φ$ be an irreducible crystallographic root system and $P$ its root polytope, i.e., its convex hull. We provide a uniform construction, for all root types, of a triang…

math.CO2015★ 4 cited

Polar Root Polytopes that are Zonotopes

Paola Cellini, Mario Marietti

Let $P_{Φ}$ be the root polytope of a finite irreducible crystallographic root system $Φ$ , i.e., the convex hull of all roots in $Φ$ . The polar of $P_{Φ}$ , denoted $\…

math.RT2013★ 1 cited

Symmetries of abelian ideals of Borel subalgebras

Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi

Elaborating on a paper by Suter, we provide a detailed description of the automorphism group of the poset of abelian ideals in a Borel subalgebra of a finite dimensional complex si…

math.CO2012★ 14 cited

Root polytopes and abelian ideals

Paola Cellini, Mario Marietti

We study the root polytope $P_{Φ}$ of a finite irreducible crystallographic root system $Φ$ using its relation with the abelian ideals of a Borel subalgebra of a simple Lie…

math.CO2012★ 18 cited

Root polytopes and Borel subalgebras

Paola Cellini, Mario Marietti

Let $Φ$ be a finite crystallographic irreducible root system and $P_{Φ}$ be the convex hull of the roots in $Φ$ . We give a uniform explicit description of the polytope $\mat…