Cellularity of a Larger Class of Diagram Algebras
Abstract
In this paper, we realize the algebra of Z2-relations, signed partition algebras and partition algebras as tabular algebras and prove the cellularity of these algebras using the method of GM1. Using the results of Graham and Lehrer in GL, we give the modular representations of the algebra of Z2-relations, signed partition algebras and partition algebras.
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