Note on Cellular Structure of Edge Colored Partition Algebras

IF 0.6 Q3 MATHEMATICS

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

A. J. Kennedy, G. Muniasamy

引用次数: 0

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 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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关于边着色划分代数的细胞结构的注记

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.