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math.RA2026
Deformation theory and the controlling -structure of extended Rota-Baxter algebras
Jian Yang
In this paper, we introduce the controlling -algebra of extended Rota-Baxter algebras. As applications, we obtain the cohomology of extended Rota-Baxter algebras and…
math.RA2026
Deformations and the controlling -structure of extended Rota-Baxter Lie algebras
Jian Yang
In this paper, we introduce the controlling -algebra of extended Rota-Baxter Lie algebras. As applications, we obtain the cohomology of extended Rota-Baxter Lie alge…
math.RA2024
Formal deformations, cohomology theory and -structures for differential Lie algebras of arbitrary weight
Weiguo Lyu, Zihao Qi, Jian Yang +1
Generalising a previous work of Jiang and Sheng, a cohomology theory for differential Lie algebras of arbitrary weight is introduced. The underlying -structure on the…