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Deformations and Extensions of Modified λ-Differential 3-Lie Algebras

  • Published:2023-09-08 Issue:18 Volume:11 Page:3853
  • ISSN:2227-7390
  • Container-title:Mathematics
  • language:en
  • Short-container-title:Mathematics

Author:

Teng Wen1,Zhang Hui23

Affiliation:

1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

2. School of Information, Guizhou University of Finance and Economics, Guiyang 550025, China

3. Postdoctoral Scientific Research Station, ShijiHengtong Technology Co., Ltd., Guiyang 550014, China

Abstract

In this paper, we propose the representation and cohomology of modified λ-differential 3-Lie algebras. As their applications, the linear deformations, abelian extensions and T∗-extensions of modified λ-differential 3-Lie algebras are also studied.

Funder

Innovation Exploration and Academic Talent Project of GUFE

Scientific Research Foundation for Advanced Talents of GUFE

Science and Technology Program of Guizhou Province

Research Foundation for Science & Technology Innovation Team of Guizhou Province

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference47 articles.

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3. n-Lie algebras;Filippov;Sib. Mat. Zh.,1985

4. Multiple M2-branes and generalized 3-Lie algebras;Cherkis;Phys. Rev.,2008

5. Lie 3-algebra and multiple M2-branes;Ho;J. High Energy Phys.,2008

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