Constructing cell data for diagram algebras

Details Constructing cell data for diagram algebras Constructing cell data for diagram algebras

2005-03-31

arxiv.org/abs/math/0503751v3

Mathematics

Rings and Algebras

Approximately 38 pages, AMSTeX. Revised in light of referee comments. To appear in the Journal of Pure and Applied Algebra

Scientific paper

We show how the treatment of cellularity in families of algebras arising from diagram calculi, such as Jones' Temperley--Lieb wreaths, variants on Brauer's centralizer algebras, and the contour algebras of Cox et al (of which many algebras are special cases), may be unified using the theory of tabular algebras. This improves an earlier result of the first author (whose hypotheses covered only the Brauer algebra from among these families).

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