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arXiv · 1506.02780

Cellularity of a Larger Class of Diagram Algebras

N. Karimilla Bi
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Abstract

In this paper, we realize the algebra of $\mathbb{Z}_2$-relations, signed partition algebras and partition algebras as tabular algebras and prove the cellularity of these algebras using the method of \cite{GM1}. Using the results of Graham and Lehrer in \cite{GL}, we give the modular representations of the algebra of $\mathbb{Z}_2$-relations, signed partition algebras and partition algebras.

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N. Karimilla Bi. 2015-06-09. Cellularity of a Larger Class of Diagram Algebras. https://arxiv.org/abs/1506.02780

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