Graded nilpotent Lie algebras in low dimensions.
Graded radical type Lie algebras. I.
Graded subalgebras of the Lie algebra of a smooth manifold.
Gradedness of the set of rook placements in
A rook placement is a subset of a root system consisting of positive roots with pairwise non-positive inner products. To each rook placement in a root system one can assign the coadjoint orbit of the Borel subgroup of a reductive algebraic group with this root system. Degenerations of such orbits induce a natural partial order on the set of rook placements. We study combinatorial structure of the set of rook placements in with respect to a slightly different order and prove that this poset is...
Graphical introduction to classical Lie algebras.
Graphs associated with nilpotent Lie algebras of maximal rank.
In this paper, we use the graphs as a tool to study nilpotent Lie algebras. It implies to set up a link betwcen graph theory and Lie theory. To do this, it is already known that every nilpotent Lie algebra of maximal rank is associated with a generalized Cartan matrix A and it ils isomorphic to a quotient of the positive part n+ of the KacMoody algebra g(A). Then, if A is affine, we can associate n+ with a directed graph (from now on, we use the term digraph) and we can also associate a subgraph...
Groupe de Galois différentiel local et représentation adjointe
Dans cet article on s’intéresse à la représentation adjointe du tore exponentiel sur l’algèbre de Lie du groupe de Galois différentiel local. Nous proposons un algorithme pour réduire les sous-espaces poids de dimension supérieure à 1 à des sous-espaces de racines. Ce faisant, on construit un tore (en général) maximal qui contient le tore exponentiel. Au cours de ce travail on est amené à étudier la régularité du tore exponentiel dans le groupe de Galois local.
Groupes associés aux algèbres de Kac-Moody
Groupes quantiques
Groupoids and compact quantum groups
Groups of strings.
Growth and Lie brackets in the homotopy Lie algebra.
Growth of some varieties of Leibniz-Poisson algebras
2010 Mathematics Subject Classification: 17A32, 17B63.Let V be a variety of Leibniz-Poisson algebras over an arbitrary field whose ideal of identities contains the identities {{x1,y1},{x2,y2},ј,{xm,ym}} = 0, {x1,y1}·{x2,y2}· ј ·{xm,ym} = 0 for some m. It is shown that the exponent of V exists and is an integer.
Gruppen von Homotopieklassen von Abbildungen in Produkte von Eilenberg-Maclane-Räumen.