Fine structures inside the PreLie operad

Details Fine structures inside the PreLie operad Fine structures inside the PreLie operad

2010-10-15

arxiv.org/abs/1010.3176v1

Mathematics

Quantum Algebra

16 pages

Scientific paper

This article aims at a detailed analysis of the PreLie operad. We obtain a more concrete description of the relationship between the anticyclic structure of PreLie and the generators of PreLie as a Lie-module, which was known before only at the level of characters. Building on this, we obtain an inclusion of the cyclic Lie module in the PreLie operad. We conjecture that the image of this inclusion generates an interesting free sub-operad.

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