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math.RT2025
Branching rules for cell modules on a tower of the partition algebras
Pei Wang
Partition algebras with non-zero parameters are cellularly stratified and thus have the features of both cellular algebras and stratified algebras. Also, partition algebras form a…
math.RT2025
Half-Diagrams in Partition Algebras: A Geometric Perspective on Multiplicities
Pei Wang, Changjing Zhuge
This paper studies the restriction multiplicities of half-diagram modules for the partition algebra and their geometric interpretations. By specializing the Bowman-De Visscher-Orel…