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Export Reference (APA) 
Laureano, M. (2024). Cocycles in Lie Groups, Cochains and Regularity Problem. arXiv:2411.18757.
Export Reference (IEEE) 
M. D. Laureano,  "Cocycles in Lie Groups, Cochains and Regularity Problem", in arXiv:2411.18757, Ithaca, New York, 2024
Export BibTeX 
@unpublished{laureano2024_1782751582685,
	author = "Laureano, M.",
	title = "Cocycles in Lie Groups, Cochains and Regularity Problem",
	year = "2024",
	url = "https://arxiv.org/abs/2411.18757"
}
Export RIS 
TY  - EJOUR
TI  - Cocycles in Lie Groups, Cochains and Regularity Problem
T2  - arXiv:2411.18757
AU  - Laureano, M.
PY  - 2024
DO  - 10.48550/arXiv.2411.18757
CY  - Ithaca, New York
UR  - https://arxiv.org/abs/2411.18757
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 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 other than Z or R. 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  -