论文信息 - Etude de l’algèbre de Lie double des arbres enracinés décorés

Etude de l’algèbre de Lie double des arbres enracinés décorés

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.

A. Connes

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