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

Qiang Li and Lili Ma ()
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Qiang Li: School of Science, Qiqihar University, Qiqihar 161006, China
Lili Ma: School of Science, Qiqihar University, Qiqihar 161006, China

Mathematics, 2023, vol. 11, issue 4, 1-15

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.

Keywords: Hom-?-Jordan Lie supertriple system; cohomology; deformation; Nijenhuis operator; abelian extension (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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