23 citations · 24 across the 3 of their papers we have counts for
5 papers · 1 filter
On the irreducibility of the commuting variety of a symmetric pair associated to a parabolic subalgebra with abelian unipotent radical
Herve Sabourin, Rupert W. T. Yu
In this paper, we study the commuting variety of symmetric pairs associated to parabolic subalgebras with abelian unipotent radical in a simple complex Lie algebra. By using the ``…
On the index of certain Lie algebras
Patrice Tauvel, Rupert W. T. Yu
We give an upper bound for the index of certain Lie algebras, called of seaweed type, introduced by V. Dergachev, A. Kirillov and D. Panyushev. We deduce from this a conjecture of…
Index and stable linear forms of Lie algebras
Patrice Tauvel, Rupert W. T. Yu
We characterize, in a purely algebraic manner, certain linear forms, called stable, on a Lie algebra. As an application, we determine the index of a Borel subalgebra of a semi-simp…
Centralizers of distinguished nilpotent pairs and related problems
Rupert W. T. Yu
In this paper, by establishing an explicit and combinatorial description of the centralizer of a distinguished nilpotent pair in a classical simple Lie algebra, we solve in the cla…
Degenerations of Schubert varieties of SL(n)/B to toric varities
R. Dehy, R. Yu
Using polytopes defined in an earlier paper, we show in this paper the existence of degenerations of a large class of Schubert varieties of SL_n to toric varieties by extending the…