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

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Autor(es):
Kochloukova, Dessislava H. ; Martinez-Perez, Conchita
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Israel Journal of Mathematics; v. 247, n. 2, p. 33-pg., 2021-12-28.
Resumo

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)

Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
Beneficiário:Ivan Chestakov
Modalidade de apoio: Auxílio à Pesquisa - Temático