Céline Righi

most citedNumber of "udu" of a Dyck path and ad-nilpotent ideals of parabolic subalgebras of sl_{l+1}(C)

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.RT2008★ 1 cited

Enumeration of ad-nilpotent ideals of parabolic subalgebras for exceptional types

Celine Righi

Using GAP4, we determine the number of ad-nilpotent and abelian ideals of a parabolic subalgebra of a simple Lie algebra of exceptional types E, F or G.

math.RA2008★ 2 cited

Number of "udu" of a Dyck path and ad-nilpotent ideals of parabolic subalgebras of sl_{l+1}(C)

Celine Righi

For an ad-nilpotent ideal $i$ of a Borel subalgebra of $s l_{l + 1} (C)$ , we denote by $I_{i}$ the maximal subset $I$ of the set of simple roots such that $i$ is an ad-nilpotent ideal of…

math.RT2007

Ad-Nilpotent Ideals of a Parabolic Subalgebra

Céline Righi

We extend the results of Cellini-Papi on the characterizations of nilpotent and abelian ideals of a Borel subalgebra to parabolic subalgebras of a simple Lie algebra. These charact…