40 citations · 146 across the 22 of their papers we have counts for
8 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…
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…
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…
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…
Around Van den Bergh's double brackets for different bimodule structures
Maxime Fairon, Colin McCulloch
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebra which induces a Poisson bracket on each representation space $\operatornam…
Double Multiplicative Poisson Vertex Algebras
Maxime Fairon, Daniele Valeri
We develop the theory of double multiplicative Poisson vertex algebras. These structures, defined at the level of associative algebras, are shown to be such that they induce a clas…
Euler continuants in noncommutative quasi-Poisson geometry
Maxime Fairon, David Fernández
It was established by Boalch that Euler continuants arise as Lie group valued moment maps for a class of wild character varieties described as moduli spaces of points on $\mathbb{P…
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…