Geodesic
CATEGORIES ARISING FROM TABULAR ALGEBRAS
Glasgow mathematical journal, Tome 45 (2003) no. 2, pp. 333-352

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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.
DOI : 10.1017/S0017089503001289
Mots-clés : 16B50 
GREEN, R. M. CATEGORIES ARISING FROM TABULAR ALGEBRAS. Glasgow mathematical journal, Tome 45 (2003) no. 2, pp. 333-352. doi: 10.1017/S0017089503001289
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     title = {CATEGORIES {ARISING} {FROM} {TABULAR} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {333--352},
     year = {2003},
     volume = {45},
     number = {2},
     doi = {10.1017/S0017089503001289},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001289/}
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