Utilize este identificador para referenciar este registo: http://hdl.handle.net/10071/34708
Autoria: Laureano, R. D.
Data: 2025
Título próprio: Cocycles in lie groups, cochains and regularity problem
Título da revista: European Journal of Pure and Applied Mathematics
Volume: 18
Número: 2
Referência bibliográfica: Laureano, R. D. (2025). Cocycles in lie groups, cochains and regularity problem. European Journal of Pure and Applied Mathematics, 18(2), Article 5830. https://doi.org/10.29020/nybg.ejpam.v18i2.5830
ISSN: 1307-5543
DOI (Digital Object Identifier): 10.29020/nybg.ejpam.v18i2.5830
Palavras-chave: Cocycle
Cohomological equation
Coboundary
Cochain
Livschitz theorem
Lie group
Anosov flow
Anosov diffeomorphism
Resumo: After the fundamental work of Livschitz in [1, 2], various research directions emerged, among which the following stand out: (i) the study of cocycles with values in groups and semigroups beyond R, as well as the investigation of corresponding regularity results; (ii) the analysis of how a certain degree of regularity (Ck for k = 1, 2, . . . , ∞, ?) of the cocycle can confer corresponding regularity to the solution of the cohomological equation; and (iii) the study of higher-dimensional cohomology naturally associated with the action of groups such as Zk or Rk. The aim of this article is to present, as self-contained as possible, a review of the natural generalizations of the notions of cocycles and cochains, as well as their corresponding results, in the study of cohomological equations.
Arbitragem científica: yes
Acesso: Acesso Aberto
Aparece nas coleções:ISTAR-RI - Artigos em revistas científicas internacionais com arbitragem científica

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