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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 of a Borel subalgebra of , we denote by the maximal subset of the set of simple roots such that is an ad-nilpotent ideal of…