7 citations · 17 across the 18 of their papers we have counts for
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BV Algebras with Applications to Lie Bialgebras and Poisson Cohomology
Marco A. Farinati, A. Patricia Jancsa
By using algebraic tools from differential Gerstenhaber algebras and Batalin-Vilkobisky algebras, we provide a new perspective on the modular class in Poisson geometry and the intr…
Universal quantum (semi)groups and Hopf envelopes: Erratum
Marco Farinati
In \cite{F} there is a statement generalizing the results in \cite{FG}. Unfortunately there is a mistake in a computation that affects the main result. I don't know if the main res…
Universal quantum (semi)groups and Hopf envelopes
Marco Farinati
We prove that, in case = the FRT construction of a braided vector space admits a weakly Frobenius algebra (e.g. if the braiding is rigid and its Nichol…
Quantum function algebras from finite-dimensional Nichols algebras
Marco A. Farinati, Gaston Andres Garcia
We describe how to find quantum determinants and antipode formulas from braided vector spaces using the FRT-construction and finite-dimensional Nichols algebras. It generalizes the…
Lie bialgebra structures on 2-step nilpotent graph algebras
Marco A. Farinati, A. Patricia Jancsa
We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible Lie bialgebra cobrackets on 2-step nilpotent algebras with some additional properties. For…
A differential bialgebra associated to a set theoretical solution of the Yang-Baxter equation
Marco A. Farinati, Juliana García Galofre
For a set theoretical solution of the Yang-Baxter equation , we define a d.g. bialgebra , containing the semigroup algebra $A=k\{X\}/\langle xy=zt : σ(x,y)=(z,t)\r…
Trivial Central Extensions of Lie Bialgebras
Marco A. Farinati, A. Patricia Jancsa
From a Lie algebra satisfying and (in particular, for $\g$ semisimple) we describe explicitly all Li…
Three dimensional real Lie bialgebras
Marco Farinati, A. Patricia Jancsa
We classify all real three dimensional Lie bialgebras. In each case, their automorphism group as Lie bialgebras is also given.