3 papers
math.QA2023
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…
math.QA2016
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…
math.QA2010
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.