Geodesic
An elementary computation of the cohomology of the Fomin–Kirillov algebra with $3$ generators
Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 367-386.

Voir la notice de l'article provenant de la source International Press of Boston

We give an elementary computation of the algebra structure of the Yoneda algebra of the Fomin–Kirillov algebra FK(3) over a field of characteristic different from $2$ and $3$. The computation is based on a new bootstrap technique we introduce which is built upon the (nonacyclic) Koszul complex of FK(3).
DOI : 10.4310/HHA.2020.v22.n2.a22
Classification : 16S37, 16T05, 18G15
Keywords: Koszul algebras, Yoneda algebra, Fomin–Kirillov algebras, Nichols algebras 
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     title = {An elementary computation of the cohomology of the {Fomin{\textendash}Kirillov} algebra with $3$ generators},
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Estanislao Herscovich. An elementary computation of the cohomology of the Fomin–Kirillov algebra with $3$ generators. Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 367-386. doi : 10.4310/HHA.2020.v22.n2.a22. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a22/

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