Xuling DENG, Yanhui BI, Yaofeng WU. n-Nijenhuis Structures on Leibniz n-Algebras[J]. Journal of nanchang hangkong university(Natural science edition), 2025, 39(5): 42-48, 71. DOI: 10.3969/j.issn.2096-8566.2025.05.005
Citation: Xuling DENG, Yanhui BI, Yaofeng WU. n-Nijenhuis Structures on Leibniz n-Algebras[J]. Journal of nanchang hangkong university(Natural science edition), 2025, 39(5): 42-48, 71. DOI: 10.3969/j.issn.2096-8566.2025.05.005
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n-Nijenhuis Structures on Leibniz n-Algebras

    Abstract
  • By studying the categories of Leibniz algebras and Leibniz n -algebras, functors between them are established. Subsequently, the concept of an n -Nijenhuis operator and its dual notion on Leibniz algebras are introduced. Finally, the cohomology of n -Nijenhuis structures on Leibniz n -algebras is constructed via cochain complexes and cochain maps, and the corresponding cohomology groups are obtained.
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