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arXiv · 1203.2592

Graded cellular bases for Temperley-Lieb algebras of type A and B

David Plaza·Steen Ryom-Hansen
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Abstract

We show that the Temperley-Lieb algebra of type $A$ and the blob algebra (also known as the Temperley-Lieb algebra of type $ B$) at roots of unity are $ \mathbb Z$-graded algebras.We moreover show that they are graded cellular algebras, thus making their cell modules, or standard modules, graded modules for the algebras.

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BibTeXRIS

David Plaza, Steen Ryom-Hansen. 2012-03-12. Graded cellular bases for Temperley-Lieb algebras of type A and B. https://arxiv.org/abs/1203.2592

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