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Hom-Big Brackets: Theory and Applications (1507.04061v3)
Published 15 Jul 2015 in math-ph and math.MP
Abstract: 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.
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