Zihao Qi

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3 papers · 1 filter

math.RA2026

Symmetric operads of GK-dimension one

Yu Li, Zihao Qi, Yongjun Xu +3

We prove that there is no finitely generated symmetric operad of Gelfand-Kirillov dimension strictly between 1 and 2 that answers an open question posted in 2020. We also classify…

math.RA2025

Operads with trivial $A$ -actions

Yu Li, Zihao Qi, Yongjun Xu +3

We study operads with trivial $A$ -actions and prove an equivalence between the category of $A$ -trivial operads and that of pseudo-graded-Perm associative algebras…

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…

Symmetric operads of GK-dimension one

Operads with trivial A-actions

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

Operads with trivial $A$ -actions

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