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Cellularity of a Larger Class of Diagram Algebras
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  • 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;
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 Abstract
In this paper, we realize the algebra of 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 -relations, signed partition algebras and partition algebras.
 Keywords
Cellularity;partition algebras;algebra of -relations and signed partition algebras;
 Language
English
 Cited by
 References
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