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Distributive laws between the operads Lie and Com
- Publication Year :
- 2019
-
Abstract
- Using methods of computer algebra, especially Gr\"obner bases for submodules of free modules over polynomial rings, we solve a classification problem in theory of algebraic operads: we show that the only nontrivial (possibly inhomogeneous) distributive law between the operad of Lie algebras and the operad of commutative associative algebras is given by the Livernet-Loday formula deforming the Poisson operad into the associative operad.<br />Comment: 8 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1912.05519
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1142/S021819672050054X