Deformations and Extensions of Modified <i>λ</i>-Differential 3-Lie Algebras
In this paper, we propose the representation and cohomology of modified <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-differential 3-Lie a...
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MDPI AG
2023-09-01
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| Online Access: | https://www.mdpi.com/2227-7390/11/18/3853 |
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| author | Wen Teng Hui Zhang |
| author_facet | Wen Teng Hui Zhang |
| author_sort | Wen Teng |
| collection | DOAJ |
| description | In this paper, we propose the representation and cohomology of modified <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-differential 3-Lie algebras. As their applications, the linear deformations, abelian extensions and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>T</mi><mo>∗</mo></msup></semantics></math></inline-formula>-extensions of modified <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-differential 3-Lie algebras are also studied. |
| first_indexed | 2024-03-10T22:29:45Z |
| format | Article |
| id | doaj.art-32a9ba4a52a849549d3bfb96817e46a5 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T22:29:45Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj.art-32a9ba4a52a849549d3bfb96817e46a52023-11-19T11:48:31ZengMDPI AGMathematics2227-73902023-09-011118385310.3390/math11183853Deformations and Extensions of Modified <i>λ</i>-Differential 3-Lie AlgebrasWen Teng0Hui Zhang1School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaSchool of Information, Guizhou University of Finance and Economics, Guiyang 550025, ChinaIn this paper, we propose the representation and cohomology of modified <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-differential 3-Lie algebras. As their applications, the linear deformations, abelian extensions and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>T</mi><mo>∗</mo></msup></semantics></math></inline-formula>-extensions of modified <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-differential 3-Lie algebras are also studied.https://www.mdpi.com/2227-7390/11/18/38533-Lie algebrasmodified λ-differential operatorrepresentationcohomologylinear deformationabelian extension |
| spellingShingle | Wen Teng Hui Zhang Deformations and Extensions of Modified <i>λ</i>-Differential 3-Lie Algebras Mathematics 3-Lie algebras modified λ-differential operator representation cohomology linear deformation abelian extension |
| title | Deformations and Extensions of Modified <i>λ</i>-Differential 3-Lie Algebras |
| title_full | Deformations and Extensions of Modified <i>λ</i>-Differential 3-Lie Algebras |
| title_fullStr | Deformations and Extensions of Modified <i>λ</i>-Differential 3-Lie Algebras |
| title_full_unstemmed | Deformations and Extensions of Modified <i>λ</i>-Differential 3-Lie Algebras |
| title_short | Deformations and Extensions of Modified <i>λ</i>-Differential 3-Lie Algebras |
| title_sort | deformations and extensions of modified i λ i differential 3 lie algebras |
| topic | 3-Lie algebras modified λ-differential operator representation cohomology linear deformation abelian extension |
| url | https://www.mdpi.com/2227-7390/11/18/3853 |
| work_keys_str_mv | AT wenteng deformationsandextensionsofmodifiedilidifferential3liealgebras AT huizhang deformationsandextensionsofmodifiedilidifferential3liealgebras |