2 citations · 6 across the 12 of their papers we have counts for
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On some subspaces of the exterior algebra of a simple Lie algebra
Jean-Yves Charbonnel
In this article, we are interested in some subspaces of the exterior algebra of a simple Lie algebra g. In particular, we prove that some graded subspaces of degree d generate the…
The symmetric invariants of centralizers and Slodowy grading II
Jean-Yves Charbonnel, Anne Moreau
Let be a finite-dimensional simple Lie algebra of rank over an algebraically closed field of characteristic zero, and let be an $\mathfrak{s…
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 a variety related to the commuting variety of a reductive Lie algebra
Jean-Yves Charbonnel
For a reductive Lie algbera over an algbraically closed field of charasteristic zero,we consider a borel subgroup of its adjoint group, a Cartan subalgebra contained inthe Lie…
The symmetric invariants of the centralizers and Slodowy grading
Jean-Yves Charbonnel, Anne Moreau
Let g be a finite-dimensional simple Lie algebra of rank r over an algebraically closed field of characteristic zero, and let e be a nilpotent element of g. Denote by g^e the centr…
On the Commuting variety of a reductive Lie algebra
Jean-Yves Charbonnel
The commuting variety of a reductive Lie algebra ${\goth g}$ is the underlying variety of a well defined subscheme of . In this note, it is proved that this scheme is norm…
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…
The index of centralizers of elements of reductive Lie algebras
Jean-Yves Charbonnel, Anne Moreau
same as arXiv:0904.1778
The index of centralizers of elements of reductive Lie algebras
Jean-Yves Charbonnel, Anne Moreau
For a finite dimensional complex Lie algebra, its index is the minimal dimension of stabilizers for the coadjoint action. A famous conjecture due to Elashvili says that the index o…
Nilpotent bicone and characteristic submodule of a reductive Lie algebra
Jean-Yves Charbonnel, Anne Moreau
The nilpotent bicone of a finite dimensional complex reductive Lie algebra g is the subset of elements in g x g whose subspace generated by the components is contained in the nilpo…