4 citations · 9 across the 6 of their papers we have counts for
6 papers
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…
Hopf PBW-deformations of a new type quantum group
Yongjun Xu, Jialei Chen
In this paper, we mainly focus on a new type quantum group and its Hopf PBW-deformations in which $U_{q}(\mathfrak{sl}^{…
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…
Growth of nonsymmetric operads
Zihao Qi, Yongjun Xu, James J. Zhang +1
The paper concerns the Gelfand-Kirillov dimension and the generating series of nonsymmetric operads. An analogue of Bergman's gap theorem is proved, namely, no finitely generated l…
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…
A Categorification of the Spin Representation of $U(\mf{so}(7,\C))$ via Projective Functors
Yongjun Xu, Shilin Yang
The purpose of this paper is to study a categorification of the -th tensor power of the spin representation of $U(\mf{so}(7,\C))$ by using certain singular blocks and projective…