Capelli elements for the orthogonal Lie algebras.
Capelli identities for Lie superalgebras
Certaines représentations infinies des algèbres de Lie semi-simples
Characteristic zero loop space homology for certain two-cones
Given a principal ideal domain of characteristic zero, containing 1/2, and a two-cone of appropriate connectedness and dimension, we present a sufficient algebraic condition, in terms of Adams-Hilton models, for the Hopf algebra to be isomorphic with the universal enveloping algebra of some -free graded Lie algebra; as usual, stands for free part, for homology, and for the Moore loop space functor.
Cohomologie locale de Grothendieck et représentations induites de superalgèbres de Lie.
Cohomology of Bimodules Over Enveloping Algebras.
Composition-diamond lemma for modules
We investigate the relationship between the Gröbner-Shirshov bases in free associative algebras, free left modules and “double-free” left modules (that is, free modules over a free algebra). We first give Chibrikov’s Composition-Diamond lemma for modules and then we show that Kang-Lee’s Composition-Diamond lemma follows from it. We give the Gröbner-Shirshov bases for the following modules: the highest weight module over a Lie algebra , the Verma module over a Kac-Moody algebra, the Verma module...
Conditions syntaxiques de plongement. II. Prolongements de faisceaux et faisceaux associés