Subdirect sums of Lie algebras
Dessislava H. Kochloukova, Conchita Mart\'inez-P\'erez
TL;DR
This paper explores Lie algebra analogues of homological finiteness properties in subdirect products, extending classical group theory results like the 1-2-3 Theorem to Lie algebras.
Contribution
It introduces Lie algebra versions of key results on subdirect products, notably adapting the 1-2-3 Theorem to the Lie algebra context.
Findings
Established Lie algebra analogues of homological finiteness properties.
Extended the 1-2-3 Theorem to Lie algebras.
Provided new insights into the structure of subdirect sums of Lie algebras.
Abstract
We show Lie algebra versions of some results on homological finiteness properties of subdirect products of groups, including a version of the 1-2-3 Theorem.
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