5 papers · 1 filter
Double Transposed Poisson Algebras
Maxime Fairon, Nikita Safonkin
We introduce double transposed Poisson algebras, a noncommutative analogue of the transposed Poisson algebras of Bai, Bai, Guo and Wu that is compatible with the Kontsevich--Rosenb…
Double Poisson (vertex) algebra cohomology
Maxime Fairon, Daniele Valeri
A noncommutative (NC) version of Poisson geometry was initiated by Van den Bergh by introducing at the level of associative algebras the formalism of double Poisson brackets. Their…
Quasi-Poisson varieties from double quasi-Poisson algebras in types
Semeon Arthamonov, Maxime Fairon
Double (quasi-)Poisson brackets were introduced on associative algebras by Van den Bergh to induce a (quasi-)Poisson structure on their representation spaces naturally equipped wit…
Functorial constructions related to double Poisson vertex algebras
Tristan Bozec, Maxime Fairon, Anne Moreau
For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation…
On the noncommutative Poisson geometry of certain wild character varieties
Maxime Fairon, David Fernández
To show that certain wild character varieties are multiplicative analogues of quiver varieties, Boalch introduced colored multiplicative quiver varieties. They form a class of (non…