Nijenhuis Operators and Abelian Extensions of Hom-<i>δ</i>-Jordan Lie Supertriple Systems
Representations and cohomologies of Hom-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-Jordan Lie supertriple systems are established. As a...
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MDPI AG
2023-02-01
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| Online Access: | https://www.mdpi.com/2227-7390/11/4/871 |
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| author | Qiang Li Lili Ma |
| author_facet | Qiang Li Lili Ma |
| author_sort | Qiang Li |
| collection | DOAJ |
| description | Representations and cohomologies of Hom-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-Jordan Lie supertriple systems are established. As an application, Nijenhuis operators and abelian extensions of Hom-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-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-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-Jordan Lie supertriple systems. |
| first_indexed | 2024-03-11T08:28:25Z |
| format | Article |
| id | doaj.art-7239a2eceb7e412baecf08b6f845218b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T08:28:25Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7239a2eceb7e412baecf08b6f845218b2023-11-16T21:55:11ZengMDPI AGMathematics2227-73902023-02-0111487110.3390/math11040871Nijenhuis Operators and Abelian Extensions of Hom-<i>δ</i>-Jordan Lie Supertriple SystemsQiang Li0Lili Ma1School of Science, Qiqihar University, Qiqihar 161006, ChinaSchool of Science, Qiqihar University, Qiqihar 161006, ChinaRepresentations and cohomologies of Hom-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-Jordan Lie supertriple systems are established. As an application, Nijenhuis operators and abelian extensions of Hom-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-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-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-Jordan Lie supertriple systems.https://www.mdpi.com/2227-7390/11/4/871Hom-δ-Jordan Lie supertriple systemcohomologydeformationNijenhuis operatorabelian extension |
| spellingShingle | Qiang Li Lili Ma Nijenhuis Operators and Abelian Extensions of Hom-<i>δ</i>-Jordan Lie Supertriple Systems Mathematics Hom-δ-Jordan Lie supertriple system cohomology deformation Nijenhuis operator abelian extension |
| title | Nijenhuis Operators and Abelian Extensions of Hom-<i>δ</i>-Jordan Lie Supertriple Systems |
| title_full | Nijenhuis Operators and Abelian Extensions of Hom-<i>δ</i>-Jordan Lie Supertriple Systems |
| title_fullStr | Nijenhuis Operators and Abelian Extensions of Hom-<i>δ</i>-Jordan Lie Supertriple Systems |
| title_full_unstemmed | Nijenhuis Operators and Abelian Extensions of Hom-<i>δ</i>-Jordan Lie Supertriple Systems |
| title_short | Nijenhuis Operators and Abelian Extensions of Hom-<i>δ</i>-Jordan Lie Supertriple Systems |
| title_sort | nijenhuis operators and abelian extensions of hom i δ i jordan lie supertriple systems |
| topic | Hom-δ-Jordan Lie supertriple system cohomology deformation Nijenhuis operator abelian extension |
| url | https://www.mdpi.com/2227-7390/11/4/871 |
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