[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2016.56.3.669

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)

Publication Information

Kyungpook Mathematical Journal / v.56, no.3, 2016 , pp. 669-682 More about this Journal

Abstract

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.

Keywords

Partition algebra; centralizer algebra; direct product; wreath product; symmetric group;

Citations & Related Records

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