Homological properties of parafree Lie algebras
Rings and Algebras
2020-07-15 v2 Group Theory
Abstract
In this paper, an explicit construction of a countable parafree Lie algebra over with nonzero second homology is given. It is also shown that the cohomological dimension of the pronilpotent completion of a free noncyclic finitely generated Lie algebra over is greater than two. Moreover, it is proven that there exists a countable parafree group with nontrivial .
Keywords
Cite
@article{arxiv.1908.04608,
title = {Homological properties of parafree Lie algebras},
author = {Sergei O. Ivanov and Roman Mikhailov and Anatoly Zaikovski},
journal= {arXiv preprint arXiv:1908.04608},
year = {2020}
}