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arXiv · 1609.01141

Constructing a free resolution and remarks on bar homology of Temperley-Lieb algebra $TL_3$

Soutrik Roy Chowdhury
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Abstract

In this paper I try to construct the Anick's resolution for the Temperley-Lieb algebra $TL_3$ and bar homology $Tor_\ast^{TL_3}(\mathbb{C},\mathbb{C})$ and shows that how $\tau \in \mathbb{C}$ given in the definition of $TL_3$ is actively involved in the differentials both in free resolution and bar homology. It suggests that the bar homology depends on the nature of $\tau$.

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Soutrik Roy Chowdhury. 2016-08-29. Constructing a free resolution and remarks on bar homology of Temperley-Lieb algebra $TL_3$. https://arxiv.org/abs/1609.01141

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