Reynolds operators on Hom-Leibniz algebras
Filomat, Tome 37 (2023) no. 7, p. 2117
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In this paper, we first introduce the notion of Reynolds operators on Hom-Leibniz algebras and give some constructions. Furthermore, we define the cohomology of Reynolds operators, and use this cohomology to study deformations of Reynolds operators. As applications, we introduce and study NS-Hom-Leibniz algebras as the underlying structure of Reynolds operators.
Classification :
17A32, 17B38
Keywords: Hom-Leibniz algebra, Reynolds operator, cohomology, NS-Hom-Leibniz algebra
Keywords: Hom-Leibniz algebra, Reynolds operator, cohomology, NS-Hom-Leibniz algebra
Dingguo Wang; Yuanyuan Ke. Reynolds operators on Hom-Leibniz algebras. Filomat, Tome 37 (2023) no. 7, p. 2117 . doi: 10.2298/FIL2307117W
@article{10_2298_FIL2307117W,
author = {Dingguo Wang and Yuanyuan Ke},
title = {Reynolds operators on {Hom-Leibniz} algebras},
journal = {Filomat},
pages = {2117 },
year = {2023},
volume = {37},
number = {7},
doi = {10.2298/FIL2307117W},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307117W/}
}
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