Constructing cell data for diagram algebras
Constructing cell data for diagram algebras
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构建图代数的单元数据
DOI:
10.1016/j.jpaa.2006.07.016
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发表时间:
2007
影响因子:
0.8
通讯作者:
Green R
中科院分区:
文献类型:
--
作者:
Green R
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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