A homotopy Lie-Rinehart resolution and classical BRST cohomology.
A non-abelian tensor product of Leibniz algebra
Leibniz algebras are a non-commutative version of usual Lie algebras. We introduce a notion of (pre)crossed Leibniz algebra which is a simultaneous generalization of notions of representation and two-sided ideal of a Leibniz algebra. We construct the Leibniz algebra of biderivations on crossed Leibniz algebras and we define a non-abelian tensor product of Leibniz algebras. These two notions are adjoint to each other. A (co)homological characterization of these new algebraic objects enables us to...
A note on groups with torsion-free abelianization and trivial multiplicator.
An Algebraic Construction of a Class of Representations of a Semi-Simple Lie Algebra.
Arrangements of hyperplanes and Lie algebra homology.
Asymptotics of Matrix Coefficients, Perverse Sheaves and Jacquet Modules.
Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras.
BGG diagrams for contact graded odd dimensional orthogonal geometries
BGG resolutions via configuration spaces
We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik–Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the Bernstein–Gelfand–Gelfand resolution as an Aomoto complex.
Categories of nonstandard highest weight modules for affine Lie algebras.
Characters of Irreducible Representations of the Lie Algebra of Vector Fields on the Circle.
Coherent Pairs of Extensions of Lie Algebras.
Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
Cohomologies d'algèbres de Lie de champs de vecteurs formels
Cohomology of Bimodules Over Enveloping Algebras.
Cohomology of some nilpotent Lie algebras.
Colored partitions and a generalization of the braid arrangement.
Cuadrados especiales en la categoría de álgebras de Lie.
In this paper the concepts of mixed cartesian square and quasi-cocartesian square, already known in the category of groups, are adapted to the category of Lie algebras. These concepts can be used in the study of the obstructions of Lie algebra extensions in the same way that Wu has studied the obstructions of group extensions.
Déformations cobordales des algèbres de Lie et relativisation de la symétrie interne
Déformations des algèbres de Lie locales et analogue du théorème d'algébricité de Carles.