Kyungpook Mathematical Journal

  • 제55권4호
  • /
  • Pages.837-858
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  • 2015
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Cellularity of a Larger Class of Diagram Algebras

  • BI, N. KARIMILLA (Ramanujan Institute for Advanced Study in Mathematics, University of Madras)
  • 투고 : 2013.10.03
  • 심사 : 2014.01.29
  • 발행 : 2015.12.23
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초록

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 [2]. Using the results of Graham and Lehrer in [1], we give the modular representations of the algebra of ${\mathbb{Z}}_2$-relations, signed partition algebras and partition algebras.

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참고문헌

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