关于边着色划分代数的细胞结构的注记

Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.669

A. J. Kennedy, G. Muniasamy

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引用次数: 0

摘要

本文研究了当G是有限群时G边有色划分代数的胞结构。进一步，我们利用G是有限循环群时的元胞结构对这些代数的所有不可约表示进行了分类。同时证明了Z/rZ-Edge彩色划分代数在特征为0且包含一个单位的原始r根的域上是拟遗传的。

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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 Z/rZ-Edge colored partition algebras are quasi-hereditary over a field of characteristic zero which contains a primitive r root of unity.

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