3 papers
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
On -dimensional neither pointed nor semisimple Hopf algebras and the associated weak Hopf algebras
Jialei Chen, Shilin Yang, Dingguo Wang +1
For a class of neither pointed nor semisimple Hopf algebras of dimension , it is shown that they are quasi-triangular, which universal -matrices are described. The…
math.RA2025
Operads with trivial -actions
Yu Li, Zihao Qi, Yongjun Xu +3
We study operads with trivial -actions and prove an equivalence between the category of -trivial operads and that of pseudo-graded-Perm associative algebras…