Title:	Scale for codimension growth of Poisson PI-algebras
Authors:	Petrogradsky, Victor
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-0182-5149
metadata.dc.contributor.affiliation:	Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática
Assunto::	Lie, Álgebra de Álgebra associativa
Issue Date:	28-Nov-2022
Publisher:	Springer Nature
Citation:	PETROGRADSKY, Victor. Scale for codimension growth of Poisson PI-algebras. Israel Journal of Mathematics, Jerusalem, v. 254, p. 201-227, 2023. DOI: https://doi.org/10.1007/s11856-022-2394-3. Disponível em: https://link.springer.com/article/10.1007/s11856-022-2394-3#article-info. Acesso em: 03 jun. 2025.
Abstract:	A. Regev proved that the codimension growth of an associative PI-algebra is at most exponential. The author established a scale for the codimension growth of Lie PI-algebras, which includes a series of functions between exponential and factorial functions. We prove that the same scale stratifies the ordinary codimension growth of Poisson PI-algebras satisfying Lie identical relations. As a byproduct, we obtain a new bound on the codimension growth of Lie PI-algebras in terms of complexity functions. We also study very fast codimension growth of some Poisson algebras without Lie identities. We essentially use techniques of exponential generating functions and growth of respective fast growing entire functions.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
metadata.dc.description.ppg:	Programa de Pós-Graduação em Matemática
DOI:	https://doi.org/10.1007/s11856-022-2394-3
metadata.dc.relation.publisherversion:	https://link.springer.com/article/10.1007/s11856-022-2394-3#article-info
Appears in Collections:	Artigos publicados em periódicos e afins

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