Mathematics, Vol. 11, Pages 871: Nijenhuis Operators and Abelian Extensions of Hom-δ-Jordan Lie Supertriple Systems

Mathematics, Vol. 11, Pages 871: Nijenhuis Operators and Abelian Extensions of Hom-δ-Jordan Lie Supertriple Systems

Mathematics doi: 10.3390/math11040871

Authors: Qiang Li Lili Ma

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.