4 citations · 19 across the 18 of their papers we have counts for
18 papers
Core abaci and Diophantine equations I: fundamental weight
Yanbo Li, Jiansheng Zhang, Shasha Zhu
In the light of a series of papers on moving vectors, we define and study core abaci of classical affine types for arbitrary charge. This greatly extends the concept of cores with…
Semisimplicity of affine cellular algebras
Yanbo Li, Bowen Sun
In this note, we prove that an affine cellular algebra is semisimple if and only if the scheme associated to is reduced and 0-dimensional, and the bilinear forms with respe…
Derivations and Hochschild cohomology of zigzag algebras
Yanbo Li, Zeren Zheng
Let be a connected graph without loops, cycles or multiple edges and the corresponding zigzag algebra. Then every Jordan derivation of is a derivation. Moreover,…
Moving vectors I: Representation type of blocks of Ariki-Koike algebras
Yanbo Li, Xiangyu Qi
We introduce a new invariant for blocks of Ariki-Koike algebras, called block moving vector, which is a vector of non-negative integers summing up to the weight of the block. In th…
On Grothendieck ring of the sequence of walled Brauer algebras
Pei Wang, Yanbo Li
In this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a sequence of walled Brauer algebras. This also allows us to calculate the struct…
Semi-simplicity of Temperley-Lieb Algebras of type D
Yanbo Li, Xiaolin Shi
We provide a necessary and sufficient condition for a type D Temperley-Lieb algebra being semi-simple by studying branching rule for cell modules. As a byproduct,…