3 papers
math.RT2026
Level-rank dualities and moving vectors
Wei Hu, Feiyue Huang, Yanbo Li +1
Duality relations between Lie algebras are a significant phenomenon in Lie algebra representation theory, with level-rank duality as a famous example. Level-rank dualities for affi…
math.RT2025
Moving vectors and core blocks of Ariki-Koike algebras
Yanbo Li, Xiangyu Qi, Kai Meng Tan
We classify the core blocks of Ariki-Koike algebras by their moving vectors. Using this classification, we obtain a necessary and sufficient condition for Scopes equivalence betwee…
math.RT2025
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…