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Research Article | Open Access

Cohomologies of modified λ-differential Lie triple systems and applications

Wen Teng( ), Fengshan Long( ), Yu Zhang
School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China
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Abstract

In this paper, we introduce the concept and representation of modified λ-differential Lie triple systems. Next, we define the cohomology of modified λ-differential Lie triple systems with coefficients in a suitable representation. As applications of the proposed cohomology theory, we study 1-parameter formal deformations and abelian extensions of modified λ-differential Lie triple systems.

Keywords

Lie triple systemmodified λ-differential operatorcohomologydeformationextension
CLC number: 17A30, 17A42, 17B10, 17B56

References

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 25079-25096
DOI: 10.3934/math.20231280

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Cite this article:
Teng W, Long F, Zhang Y. Cohomologies of modified λ-differential Lie triple systems and applications. AIMS Mathematics, 2023, 8(10): 25079-25096. https://doi.org/10.3934/math.20231280

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Received: 09 July 2023
Revised: 13 August 2023
Accepted: 21 August 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)