Les groupes de transvections des espaces symétriques associés à une algèbre de Jordan de forme réelle
Les problèmes les plus simples de 'l'algèbre quasi-commutative' en connexion avec la théorie des valeurs caractéristiques des opérateurs différentiels
Les μ-demi-anneaux
L’espace classifiant de la -théorie algébrique
L-functions of arithmetic orders and asymptotic distribution of ideals.
L’hyperanneau des classes d’adèles
J’exposerai ici quelques résultats récents (obtenus en collaboration avec C. Consani [3], [4], [5], [6]) qui portent sur le cas limite de la “caractéristique ”. Le but principal est de montrer que l’espace des classes d’adèles d’un corps global, qui jusqu’à présent n’a été considéré que comme un espace (non-commutatif), admet en fait une structure algébrique naturelle. Nous verrons également que la construction de l’anneau de Witt d’un anneau de caractéristique admet un analogue en caractéristique...
Lie algebras and coverings.
Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0.
Lie derivations of dual extensions of algebras
Let K be a field and Γ a finite quiver without oriented cycles. Let Λ := K(Γ,ρ) be the quotient algebra of the path algebra KΓ by the ideal generated by ρ, and let 𝒟(Λ) be the dual extension of Λ. We prove that each Lie derivation of 𝒟(Λ) is of the standard form.
Lie ideals and Jordan triple derivations in rings
Lie ideals in prime Γ-rings with derivations
Let M be a 2 and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following (i) d(U)⊂ Z, (ii) d(U)⊂ U and d²(U)=0, (iii) d(U)⊂ U, d²(U)⊂ Z.
Lie solvable groups algebras of derived length three.
Let K be a field of characteristic p > 2 and let G be a group. Necessary and sufficient conditions are obtained so that the group algebra KG is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to KG Lie solvable of derived length 3 in characteristic p ≥ 7.
Lifting differential operators from orbit spaces
Limits of tilting modules
We study the problem of when a direct limit of tilting modules is still a tilting module.
Linear connections on almost commutative algebras.
Linear equations in nilpotent Lie rings. (Equations linéaires dans les anneaux nilpotents au sens de Lie.)
Linear operators preserving maximal column ranks of nonbinary boolean matrices
The maximal column rank of an m by n matrix is the maximal number of the columns of A which are linearly independent. We compare the maximal column rank with rank of matrices over a nonbinary Boolean algebra. We also characterize the linear operators which preserve the maximal column ranks of matrices over nonbinary Boolean algebra.
Linear right ideal nearrings.
Linear semigroups with permutation properties.
Linearly compact chain rings.