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arXiv · 1401.1774

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

Zoltan Kadar·Paul P. Martin·Shona Yu
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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 ($l=\infty$) 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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BibTeXRIS

Zoltan Kadar, Paul P. Martin, Shona Yu. 2014-01-08. On geometrically defined extensions of the Temperley-Lieb category in the Brauer category. https://arxiv.org/abs/1401.1774

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