4 papers · 1 filter
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…
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…
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…
Induction and restriction functors for cellular categories
Pei Wang
Cellular categories are a generalization of cellular algebras, which include a number of important categories such as (affine)Temperley-Lieb categories, Brauer diagram categories,…