Étude de l'algèbre de Lie double des arbres enracinés décorés |
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| Authors: | L. Foissy |
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| Affiliation: | Laboratoire de Mathématiques, UMR 6056, Université de Reims, Moulin de la Housse, BP 1039, 51687 REIMS Cedex 2, France |
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| 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. |
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| Keywords: | Algè bre de Lie Arbres enraciné s Modules de plus bas poids |
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