Abstract
Certain canonical resolutions are described for free associative and free Lie algebras in the category of non-associative algebras. These resolutions derive in both cases from geometric objects, which in turn reflect the combinatorics of suitable collections of leaf-labeled trees.
| Original language | English |
|---|---|
| Pages (from-to) | 3-16 |
| Number of pages | 14 |
| Journal | Canadian Mathematical Bulletin |
| Volume | 43 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2000 |
Keywords
- Associahedron
- Associative algebras
- Homology
- Jacobi identity
- Leaf-labeled trees
- Lie algebras
- Non-associative algebras
- Resolutions