An algorithm for analysis of the structure of finitely presented Lie algebras.
Bell's primeness criterion for .
BRST charge and Poisson algebras.
Classification of solvable Lie algebras.
Computations in finite-dimensional Lie algebras.
Computing nilpotent quotients in finitely presented Lie rings.
Constructing homomorphisms between Verma modules.
Finely homogeneous computations in free Lie algebras.
Generalization of the formula of Faa di Bruno for a composite function with a vector argument.
Invariant nonassociative algebra structures on irreducible representations of simple Lie algebras.
Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions
This is a survey paper on applications of the representation theory of the symmetric group to the theory of polynomial identities for associative and nonassociative algebras. In §1, we present a detailed review (with complete proofs) of the classical structure theory of the group algebra of the symmetric group over a field of characteristic 0 (or ). The goal is to obtain a constructive version of the isomorphism where is a partition of and counts the standard tableaux of shape ....
Sur quelques théorèmes fondamentaux de l'algèbre moderne
The nucleus of the free alternative algebra.
О проблеме выводимости тождеств в многообразиях колец