| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Estadual Campinas, Dept Math, BR-13083859 Campinas, SP - Brazil
[2] Univ Zaragoza, Dept Matemat, Zaragoza 50009 - Spain
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 585, p. 143-175, NOV 1 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We develop a version of Bass-Serre theory for Lie algebras (over a field k) via a homological approach. We define the notion of fundamental Lie algebra of a graph of Lie algebras and show that this construction yields Mayer-Vietoris sequences. We extend some well known results in group theory to N-graded Lie algebras: for example, we show that one relator N-graded Lie algebras are iterated HNN extensions with free bases which can be used for cohomology computations and apply the Mayer-Vietoris sequence to give some results about coherence of Lie algebras. (C) 2021 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |