CATEGORIES ARISING FROM TABULAR ALGEBRAS
CATEGORIES ARISING FROM TABULAR ALGEBRAS
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由表状代数产生的范畴
DOI：
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发表时间：
2002
影响因子：
0.5
通讯作者：
R. Green
中科院分区：
文献类型：
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作者：
R. Green
我们继续研究具有迹的表代数（一类具有特殊基的结合$mathbb{z}[v，v^{-1}]$-代数），确定表结构可以从结构常数的知识中恢复的程度。这个问题相当于理解我们引入的某个类别（与表格代数相关联的表格数据的类别）。主要的结果是，这个类别是等价于另一个类别（类别的基础偏序集相关联的表代数）的结构，我们明确描述。
We continue the investigation of tabular algebras with trace (a certain class of associative $mathbb{z}[v, v^{-1}]$-algebras equipped with distinguished bases) by determining the extent to which the tabular structure may be recovered from a knowledge of the structure constants. This problem is equivalent to understanding a certain category (the category of table data associated to a tabular algebra) which we introduce. The main result is that this category is equivalent to another category (the category of based posets associated to a tabular algebra) whose structure we describe explicitly.