Note on Cellular Structure of Edge Colored Partition Algebras

Note on Cellular Structure of Edge Colored Partition Algebras

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{\...

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Veröffentlicht in:Kyungpook mathematical journal 2016, Vol.56 (3), p.669-682
Hauptverfasser: Kennedy, A. Joseph, Muniasamy, G
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creator Kennedy, A. Joseph
Muniasamy, G
description 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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