Commutative Post-Lie algebra structures on nilpotent Lie algebras and Poisson algebras
Rings and Algebras
2019-03-04 v1
Abstract
We give an explicit description of commutative post-Lie algebra structures on some classes of nilpotent Lie algebras. For non-metabelian filiform nilpotent Lie algebras and Lie algebras of strictly upper-triangular matrices we show that all CPA-structures are associative and induce an associated Poisson-admissible algebra.
Keywords
Cite
@article{arxiv.1903.00291,
title = {Commutative Post-Lie algebra structures on nilpotent Lie algebras and Poisson algebras},
author = {Dietrich Burde and Christof Ender},
journal= {arXiv preprint arXiv:1903.00291},
year = {2019}
}