On geometrically defined extensions of the Temperley-Lieb category in the Brauer category

2014/01/08 by Kadar, Zoltan, Martin, Paul P., Yu, Shona · 1 citation
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1401.1774

Abstract

We define an infinite chain of subcategories of the partition category by introducing the left-height (l) of a partition. For the Brauer case, the chain starts with the Temperley-Lieb (l=-1) and ends with the Brauer (l=∞) category. The End sets are algebras, i.e., an infinite tower thereof for each l, whose representation theory is studied in the paper.

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