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math.RA2023
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…
math.RA2023
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,…
math.RT2023★ 1 cited
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…