A conjecture on Lie algebras admitting a regular automorphism of finite order
Affine braid group actions on derived categories of Springer resolutions
In this paper we construct and study an action of the affine braid group associated with a semi-simple algebraic group on derived categories of coherent sheaves on various varieties related to the Springer resolution of the nilpotent cone. In particular, we describe explicitly the action of the Artin braid group. This action is a “categorical version” of Kazhdan-Lusztig-Ginzburg’s construction of the affine Hecke algebra, and is used in particular by the first author and I. Mirković in the course...
An imprimitivity theorem for Hopf algebras.
Caractères d'algèbres de Lie finies
Classification des algèbres de Lie simples
Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix.
Cohomology groups of reduced enveloping algebras.
Darstellungen auflösbarer Lie-p-Algebren.
Diamonds in thin Lie algebras
In un'algebra di Lie graduata thin, la classe in cui compare il secondo diamante e la caratteristica del campo soggiacente determinano se l'algebra stessa abbia o meno dimensione finita ed in tal caso forniscono anche un limite superiore a tale dimensione.
Directed pseudo-graphs and Lie algebras over finite fields
The main goal of this paper is to show an application of Graph Theory to classifying Lie algebras over finite fields. It is rooted in the representation of each Lie algebra by a certain pseudo-graph. As partial results, it is deduced that there exist, up to isomorphism, four, six, fourteen and thirty-four -, -, -, and -dimensional algebras of the studied family, respectively, over the field . Over , eight and twenty-two - and -dimensional Lie algebras, respectively, are also found. Finally,...
Enumeration of maximal subalgebras in free restricted Lie algebras.
Extension functors of modular Lie algebras.
Geometry of infinitesimal group schemes.
Graded Lie algebras with classical reductive null component.
Homologie restreinte des -algèbres de Lie en degré deux
Soit une -algèbre de Lie parfaite au sens des algèbres de Lie (i.e. . Nous déterminons, en degré deux, le groupe d’homologie restreinte de en fonction de son groupe d’homologie d’algèbre de Lie. Nous appliquons ce résultat à l’algèbre de Lie des matrices de trace nulle sur une algèbre commutative, et nous montrons que pour sa structure de -algèbre de Lie, le groupe d’homologie restreinte de dimension deux ne se stabilise pas, contrairement au groupe d’homologie d’algèbre de Lie étudié par...
Induction, deformation, and specialization of Lie algebra representations.
Infinitesimal unipotent group schemes of complexity 1
We classify the uniserial infinitesimal unipotent commutative groups of finite representation type over algebraically closed fields. As an application we provide detailed information on the structure of those infinitesimal groups whose distribution algebras have a representation-finite principal block.
Injective Modules for Restricted Enveloping Algebras.
Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture.
Kohomologie von p-Lie-Algebren.