5 citations · 8 across the 6 of their papers we have counts for
9 papers
Polynomiality for algebras of invariants associated with some Inönü-Wigner contractions in type A
Florence Fauquant-Millet
This paper deals with polynomiality of algebras of symmetric invariants (or generated by symmetric semi-invariants) associated with some particular Inönü-Wigner contractions in typ…
Symmetric semi-invariants for some Inonu-Wigner contractions-II-Case B even
Florence Fauquant-Millet
We consider a proper parabolic subalgebra p of a simple Lie algebra g and the Inonu-Wigner contraction of p with respect to its decomposition into its standard Levi factor and its…
Symmetric Semi-invariants for some Inonu-Wigner contractions
Florence Fauquant-Millet
Let be a proper parabolic subalgebra of a simple Lie algebra . Writing , with being the Levi fac…
Weierstrass sections for some truncated parabolic subalgebras
Florence Fauquant-Millet
In this paper, using Bourbaki's convention, we consider a simple Lie algebra of type B, C or D and a parabolic subalgebra …
Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras
Florence Fauquant-Millet, Polyxeni Lamprou
We show that the Poisson centre of truncated maximal parabolic subalgebras of a simple Lie algebra of type B, D and E_6 is a polynomial algebra. In roughly half of the cases the po…
Slices for maximal parabolic subalgebras of a semisimple Lie algebra
Florence Fauquant-Millet, Polyxeni Lamprou
Let p be a maximal truncated parabolic subalgebra of a simple Lie Algebra. It was shown in many cases that the Poisson centre Y(p) is a polynomial algebra. We construct a slice for…
Adapted pairs and Weierstrass sections
Florence Fauquant-Millet, Anthony Joseph
Adapted pairs and Weierstrass sections are central to the invariant theory associated to the action of an algebraic Lie algebra a on a finite dimensional vector space X. In this a…
Adapted pairs in type and regular nilpotent elements
Florence Fauquant-Millet, Anthony Joseph
Let be a simple Lie algebra over an algebraically closed field of characteristic zero and its adjoint group. Let be a biparabolic subalg…
Slices for biparabolics of index one
Florence Fauquant-Millet, Anthony Joseph
Let be an algebraic Lie subalgebra of a simple Lie algebra with index $\mathfrak a \leq \rank \mathfrak g$. Let denote the algebra of $…