3 papers
math.KT2023
A projective resolution for the Fomin-Kirillov algebra
Estanislao Herscovich, Ziling Li
In this article we show that, given a quadratic algebra satisfying some assumptions, which we call having a resolving datum, one can construct a projective resolution of the trivia…
math.KT2022
Gerstenhaber structure on Hochschild cohomology of the Fomin-Kirillov algebra on 3 generators
Estanislao Herscovich, Ziling Li
The goal of this article is to compute the Gerstenhaber bracket of the Hochschild cohomology of the Fomin-Kirillov algebra on three generators over a field of characteristic differ…
math.KT2021
Hochschild and cyclic (co)homology of the Fomin-Kirillov algebra on 3 generators
Estanislao Herscovich, Ziling Li
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…