10 citations · 26 across the 9 of their papers we have counts for
6 papers · 1 filter
On the automorphisms of the Drinfel'd double of a Borel Lie subalgebra
Michaël Bulois, Nicolas Ressayre
Let be a complex simple Lie algebra with Borel subalgebra . Consider the semidirect product , whe…
On the normality of the null-fiber of the moment map for - and tori representations
Michael Bulois
Let (G, V) be a representation with either G a torus or (G, V) a locally free stable -representation. We study the fiber at 0 of the associated moment map, which is a commuting…
Sheets, slice induction and G2(2) case
Michael Bulois, Pascal Hivert
In this paper, we study sheets of symmetric Lie algebras through their Slodowy slices. In particular, we introduce a notion of slice induction of nilpotent orbits which coincides w…
Nested Punctual Hilbert Schemes and Commuting Varieties of Parabolic Subalgebras
Michael Bulois, Laurent Evain
It is known that the variety parametrizing pairs of commuting nilpotent matrices is irreducible and that this provides a proof of the irreducibility of the punctual Hilbert scheme…
The closure of a sheet is not always a union of sheets
Michael Bulois
In this note we answer to a frequently asked question. If G is an algebraic group acting on a variety V, a G-sheet of V is an irreducible component of V^(m), the set of elements of…
Sheets of Symmetric Lie Algebras and Slodowy Slices
Michael Bulois
Let T be an involution of the finite dimensional complex reductive Lie algebra g and g=k+p be the associated Cartan decomposition. Denote by K the adjoint group of k. The K-module…