130 citations · 173 across the 18 of their papers we have counts for
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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…
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…
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…
Cyclic -algebras and double Poisson algebras
David Fernández, Estanislao Herscovich
In this article we prove that there exists an explicit bijection between nice -pre-Calabi-Yau algebras and -double Poisson differential graded algebras, where $d \in \mathbb{…
Hochschild homology and cohomology of down-up algebras
Sergio Chouhy, Estanislao Herscovich, Andrea Solotar
We present a detailed computation of the cyclic and the Hochschild homology and cohomology of generic and 3-Calabi-Yau homogeneous down-up algebras. This family was defined by Benk…
A-infinity-algebras, spectral sequences and exact couples
Estanislao Herscovich
We study in this article a possible further structure of homotopic nature on multiplicative spectral sequences. More precisely, since Kadeishvili's theorem asserts that, given a dg…