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20072009
most citedNumber of "udu" of a Dyck path and ad-nilpotent ideals of parabolic subalgebras of sl_{l+1}(C)

2 citations · 5 across the 4 of their papers we have counts for

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math.RT2009★ 2 cited

On the index of the quotient of a Borel subalgebra by an ad-nilpotent ideal

Celine Righi, Rupert W. T. Yu

In this paper, we give upper bounds for the index of the quotient of the Borel subalgebra of a simple Lie algebra or its nilpotent radical by an ad-nilpotent ideal. For the nilpote…

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.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…