Kac-Moody Lie Algebras and the Universal Element for the Category of Nilpotent Lie Algebras.
Le problème d'équivalence pour les pseudogroupes de Lie : méthodes intrinsèques
Les représentations des algèbres de Lie affines : applications à quelques problèmes de physique
Level one standard modules for affine symplectic Lie algebras.
Lie algebras connected with associative ones
Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy.
Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0.
Lie theory for semigroups.
Locally coalescent classes of Lie algebras
Manifolds of smooth maps IV : theorem of De Rham
Maximal ideals in the Lie algebra of vector fields
Monodromy representations of braid groups and Yang-Baxter equations
Motivated by the two dimensional conformal field theory with gauge symmetry, we shall study the monodromy of the integrable connections associated with the simple Lie algebras. This gives a series of linear representations of the braid group whose explicit form is described by solutions of the quantum Yang-Baxter equation.
Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2
Let be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to -tuples of commuting finite order automorphisms. It is a classical result that is the class of all derived algebras modulo their centres of affine Kac-Moody Lie algebras. This combined with the Peterson-Kac conjugacy theorem for affine algebras results in a classification of the algebras in . In this paper, we classify the algebras in , and further determine the relationship between and two...
Nilpotent elements and solvable actions.
In what follows we shall describe, in terms of some commutation properties, a method which gives nilpotent elements. Using this method we shall describe the irreducibility for Lie algebras which have Levi-Malçev decomposition property.
Non-degenerescence of some spectral sequences
Each Lie algebra of vector fields (e.g. those which are tangent to a foliation) of a smooth manifold définies, in a natural way, a spectral sequence which converges to the de Rham cohomology of in a finite number of steps. We prove e.g. that for all there exists a foliated compact manifold with infinite dimensional.
Note on the Linear Endomorphisms of a Vector Bundle.
On a general difference Galois theory I
We know well difference Picard-Vessiot theory, Galois theory of linear difference equations. We propose a general Galois theory of difference equations that generalizes Picard-Vessiot theory. For every difference field extension of characteristic , we attach its Galois group, which is a group of coordinate transformation.
On a theorem of Kontsevich.
On affine Kac-Moody Lie algebras
On derivations of Lie algebras