Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-11T00:04:18.315Z Has data issue: false hasContentIssue false
  • English
  • Français

CATEGORIES ARISING FROM TABULAR ALGEBRAS

Published online by Cambridge University Press:  31 July 2003

R. M. GREEN
R. M. GREEN
Affiliation:
Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, England e-mail: r.m.green@lancaster.ac.uk
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Keywords

16B50
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 2 , May 2003 , pp. 333 - 352
Copyright
2003 Glasgow Mathematical Journal Trust