Zihao Qi

activity

20212024

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math.RA2024

Formal deformations, cohomology theory and $L_{\infty} [1]$ -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 $L_{\infty} [1]$ -structure on the…

math.RA2023

Gröbner-Shirshov bases and linear bases for free multi-operated algebras over algebras with applications to differential Rota-Baxter algebras and integro-differential algebras

Zuan Liu, Zihao Qi, Yufei Qin +1

Quite much recent studies has been attracted to the operated algebra since it unifies various notions such as the differential algebra and the Rota-Baxter algebra. An $Ω$ -operated…

math.RA2021

Gröbner-Shirshov bases and linear bases for free differential type algebras over algebras

Zihao Qi, Yufei Qin, Guodong Zhou

We study a question which can be roughly stated as follows: Given a (unital or nonunital) algebra $A$ together with a Gröbner-Shirshov basis $G$ , consider the free operated algebra…

Formal deformations, cohomology theory and L∞​[1]-structures for differential Lie algebras of arbitrary weight

Gröbner-Shirshov bases and linear bases for free multi-operated algebras over algebras with applications to differential Rota-Baxter algebras and integro-differential algebras

Gröbner-Shirshov bases and linear bases for free differential type algebras over algebras

Formal deformations, cohomology theory and $L_{\infty} [1]$ -structures for differential Lie algebras of arbitrary weight