Cellularity of a Larger Class of Diagram Algebras

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 4,  2015, pp.837-858
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.4.837
Title & Authors
Cellularity of a Larger Class of Diagram Algebras
BI, N. KARIMILLA;

Abstract
In this paper, we realize the algebra of $\small{{\mathbb{Z}}_2}$ relations, signed partition algebras and partition algebras as tabular algebras and prove the cellularity of these algebras using the method of [2]. Using the results of Graham and Lehrer in [1], we give the modular representations of the algebra of $\small{{\mathbb{Z}}_2}$-relations, signed partition algebras and partition algebras.
Keywords
Cellularity;partition algebras;algebra of $\small{{\mathbb{Z}}_2}$-relations and signed partition algebras;
Language
English
Cited by
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