Nijenhuis operators on low dimensional pre-Lie algebras and solutions of CYBE

Published 23 Aug 2023 in math-ph and math.MP | (2308.12121v1)

Abstract: We first classify all Nijenhuis operators on 2-dimensional complex pre-Lie algebras and 3-dimensional complex associative algebras. Moreover, applying the obtained classification, we provide solutions of classical Yang-Baxter equation of the semi-direct product sub-adjacent Lie algebras.

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