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.RA2026
Growth of associated monomial algebras with application to Manturov groups
Xiangui Zhao
It is well-known that an associative algebra shares the same growth and Gelfand-Kirillov dimension (GK-dimension) as its associated monomial algebra with respect to a degree-lexico…
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…