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Hom-Big Brackets: Theory and Applications
Symmetry, integrability and geometry: methods and applications, Tome 12 (2016) Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we introduce the notion of hom-big brackets, which is a generalization of Kosmann–Schwarzbach's big brackets. We show that it gives rise to a graded hom-Lie algebra. Thus, it is a useful tool to study hom-structures. In particular, we use it to describe hom-Lie bialgebras and hom-Nijenhuis operators.
Keywords: hom-Lie algebras; hom-Nijenhuis–Richardson brackets; hom-big brackets; hom-Lie bialgebras; hom-Nijenhuis operators; hom-$\mathcal O$-operators. 
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     author = {Liqiang Cai and Yunhe Sheng},
     title = {Hom-Big {Brackets:} {Theory} and {Applications}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2016_12_a13/}
}
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Liqiang Cai; Yunhe Sheng. Hom-Big Brackets: Theory and Applications. Symmetry, integrability and geometry: methods and applications, Tome 12 (2016). http://geodesic.mathdoc.fr/item/SIGMA_2016_12_a13/

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