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Nijenhuis Operators and Abelian Extensions of Hom- δ -Jordan Lie Supertriple Systems

Author

Listed:
  • Qiang Li

    (School of Science, Qiqihar University, Qiqihar 161006, China)

  • Lili Ma

    (School of Science, Qiqihar University, Qiqihar 161006, China)

Abstract

Representations and cohomologies of Hom- δ -Jordan Lie supertriple systems are established. As an application, Nijenhuis operators and abelian extensions of Hom- δ -Jordan Lie supertriple systems are discussed. We obtain the infinitesimal deformation generated by virtue of a Nijenhuis operator. It is obtained that the sufficient and necessary condition for the equivalence of abelian extensions of Hom- δ -Jordan Lie supertriple systems.

Suggested Citation

  • Qiang Li & Lili Ma, 2023. "Nijenhuis Operators and Abelian Extensions of Hom- δ -Jordan Lie Supertriple Systems," Mathematics, MDPI, vol. 11(4), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:871-:d:1062346
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