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Pre-Lie algebras and the rooted trees operad
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chapoton, Frédéric Livernet, Muriel |
| Copyright Year | 2000 |
| Abstract | A pre-Lie algebra is a vector space L endowed with a bilinear product · : L × L ! L satisfying the relation (x · y) · z x · (y · z) = (x · z) · y x · (z · y), 8x, y, z 2 L. We give an explicit combinatorial description in terms of rooted trees of the operad associated to this type of algebras and prove that it is a Koszul operad. |
| Starting Page | 395 |
| Ending Page | 408 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| DOI | 10.1155/S1073792801000198 |
| Volume Number | 2001 |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0002069v2.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/0002069v2.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0002069v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1155/S1073792801000198 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
