On cell modules of symmetric cellular algebras

被引：7

作者：

Li, Yanbo ^{[1
]}

Xiao, Zhankui ^{[2
]}

机构：

[1] NE Univ Qinhuangdao, Dept Informat & Comp Sci, Qinhuangdao 066004, Peoples R China

[2] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2012年 / 168卷 / 01期

关键词：

Cell modules; Symmetric cellular algebras; Projective modules; HECKE ALGEBRAS;

D O I：

10.1007/s00605-011-0349-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a symmetric cellular algebra with cell datum (I >, M, C, i) and let . We prove that I >(1) consists of two parts: one gives a lower bound for the cardinality of the set of cell modules with zero bilinear forms and the other parametrizes all the projective cell modules. Moreover, it is proved in Li (arxiv: math0911.3524, 2009) that the dual basis of is again cellular. In this paper, we will study the cell modules defined by dual basis. In particular, we study the dual basis of the Murphy basis.

引用

页码：49 / 64

页数：16

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