English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The goal of this article is to compute the Gerstenhaber bracket of theHochschild cohomology of the Fomin-Kirillov algebra on three generators over afield of characteristic different from $2$ and $3$. This is in part based on ageneral method we introduce to easily compute the Gerstenhaber bracket betweenelements of $\operatorname{HH}^{0}(A)$ and elements of$\operatorname{HH}^{n}(A)$ for $n \in \mathbb{N}_{0}$, the method by M.Su\'arez-\'Alvarez to calculate the Gerstenhaber bracket between elements of$\operatorname{HH}^{1}(A)$ and elements of $\operatorname{HH}^{n}(A)$ for any$n \in \mathbb{N}_{0}$, as well as an elementary result that allows to computethe remaining brackets from the previous ones. We also show that theGerstenhaber bracket of $\operatorname{HH}^{\bullet}(A)$ is not induced by anyBatalin-Vilkovisky generator.

Gerstenhaber structure on Hochschild cohomology of the Fomin-Kirillov algebra on 3 generators