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Coabelian Ideals in N-graded Lie algebras and applications to right angled Artin Lie algebras

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Author(s):
Kochloukova, Dessislava H. ; Martinez-Perez, Conchita
Total Authors: 2
Document type: Journal article
Source: Israel Journal of Mathematics; v. 247, n. 2, p. 33-pg., 2021-12-28.
Abstract

We consider homological finiteness properties FPn of certain N-graded Lie algebras. After proving some general results (see Theorem A, Corollary B and Corollary C), we concentrate on a family that can be considered as the Lie algebra version of the generalized Bestvina-Brady groups associated to a graph Gamma. We prove that the homological finiteness properties of these Lie algebras can be determined in terms of the graph in the same way as in the group case. (AU)

FAPESP's process: 18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants