Kyungpook Mathematical Journal

  • 제56권3호
  • /
  • Pages.669-682
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  • 2016
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Note on Cellular Structure of Edge Colored Partition Algebras

  • Kennedy, A. Joseph (Department of Mathematics, Pondicherry University) ;
  • Muniasamy, G. (Department of Mathematics, MIT, Anna University)
  • 투고 : 2014.03.24
  • 심사 : 2015.02.21
  • 발행 : 2016.09.23
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초록

In this paper, we study the cellular structure of the G-edge colored partition algebras, when G is a finite group. Further, we classified all the irreducible representations of these algebras using their cellular structure whenever G is a finite cyclic group. Also we prove that the ${\mathbb{Z}}/r{\mathbb{Z}}$-Edge colored partition algebras are quasi-hereditary over a field of characteristic zero which contains a primitive $r^{th}$ root of unity.

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과제정보

연구 과제 주관 기관 : NBHM

참고문헌

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