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Étude de l'algèbre de Lie double des arbres enracinés décorés
Authors:L. Foissy
Affiliation:Laboratoire de Mathématiques, UMR 6056, Université de Reims, Moulin de la Housse, BP 1039, 51687 REIMS Cedex 2, France
Abstract:The double Lie algebra LD of rooted trees decorated by a set D is introduced, generalising the construction of Connes and Kreimer. It is shown that it is a simple Lie algebra. Its derivations and its automorphisms are described, as well as some central extensions. Finally, the category of lowest weight modules is introduced and studied.
Keywords:Algè  bre de Lie   Arbres enraciné  s   Modules de plus bas poids
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