5 papers
On the generalized commuting varieties of a reductive Lie algebra
Jean-Yves Charbonnel, Mouchira Zaiter
The generalized commuting and isospectral commuting varieties of a reductive Lie algebra have been introduced in a preceding article. In this note, it is proved that their normaliz…
On some subvarieties of the cartesian powers of a semisimple algebra related to a parabolic subalgebra
Mouchira Zaiter
In this note, we describe some desingularizations of some subvarieties of the cartesian powers of a semisimple Lie algebra of finite dimension.
On the Commuting variety of a reductive Lie algebra and other related varieties
Jean-Yves Charbonnel, Mouchira Zaiter
The nilpotent cone of a reductive Lie algebra has a desingularization given by thecotangent bundle of the flag variety. Analogously, the nullcone of a cartesianpower of the algebra…
On related varieties to the commuting variety of a semisimple Lie algebra
Mouchira Zaiter
Let g be a semisimple Lie algebra of finite dimension. The nullcone N of g is the set of (x,y) in g x g such that x and y are nilpotents and are in the same Borel sualgebra. The ma…
On the nullcone and the variety of a semisimple lie algebra
Mouchira Zaiter
Let g be a semisimple Lie algebra of finite dimension. The nullcone N of g is the set of (x, y) in g\timesg such that x and y are nilpotents and are in the same Borel subalgebra. T…