What question did this study set out to answer?

This research aims to explore the cohomological properties of modified Rota-Baxter Lie triple systems paired with higher derivations.

April 6, 2026Open Access

Modified Rota-Baxter Lie triple systems with higher derivations

Key Points

This research aims to explore the cohomological properties of modified Rota-Baxter Lie triple systems paired with higher derivations.
Analyzing modified Rota-Baxter LieTHDer pairs
Investigating cohomologies with specific coefficients
Studying abelian extensions of the systems
Exploring formal one-parameter deformations
Cohomologies of modified Rota-Baxter LieTHDer pairs were established
New insights into abelian extensions were provided
Formal deformations were successfully characterized

Abstract

In this paper, we consider modified Rota-Baxter Lie triple systems with higher derivations. A pair consisting of a modified Rota-Baxter Lie triple system and a higher derivation is called a modified Rota-Baxter LieTHDer pair. We investigate cohomologies of modified Rota-Baxter LieTHDer pairs with coefficients in a suitable representation. As applications, we study abelian extensions and formal one-parameter deformations of modified Rota-Baxter LieTHDer pairs.

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Filomat

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Qufu Normal University

Jianghan University

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