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arXiv · 2112.01201

Hochschild and cyclic (co)homology of the Fomin-Kirillov algebra on 3 generators

Estanislao Herscovich·Ziling Li
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Abstract

The goal of this article is to explicitly compute the Hochschild (co)homology of the Fomin-Kirillov algebra on three generators over a field of characteristic different from 2 and 3. We also obtain the cyclic (co)homology of the Fomin-Kirillov algebra in case the characteristic of the field is zero. Moreover, we compute the algebra structure of the Hochschild cohomology.

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Estanislao Herscovich, Ziling Li. 2021-12-02. Hochschild and cyclic (co)homology of the Fomin-Kirillov algebra on 3 generators. https://arxiv.org/abs/2112.01201

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