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A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.

Exportar Referência (APA) 
Laureano, R. D. (2025). Cocycles in lie groups, cochains and regularity problem. European Journal of Pure and Applied Mathematics. 18 (2)
Exportar Referência (IEEE) 
M. D. Laureano,  "Cocycles in lie groups, cochains and regularity problem", in European Journal of Pure and Applied Mathematics, vol. 18, no. 2, 2025
Exportar BibTeX 
@article{laureano2025_1766070482179,
	author = "Laureano, R. D.",
	title = "Cocycles in lie groups, cochains and regularity problem",
	journal = "European Journal of Pure and Applied Mathematics",
	year = "2025",
	volume = "18",
	number = "2",
	doi = "10.29020/nybg.ejpam.v18i2.5830",
	url = "https://www.ejpam.com/index.php/ejpam/index"
}
Exportar RIS 
TY  - JOUR
TI  - Cocycles in lie groups, cochains and regularity problem
T2  - European Journal of Pure and Applied Mathematics
VL  - 18
IS  - 2
AU  - Laureano, R. D.
PY  - 2025
SN  - 1307-5543
DO  - 10.29020/nybg.ejpam.v18i2.5830
UR  - https://www.ejpam.com/index.php/ejpam/index
AB  - 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.
ER  -