M. Fairon

activity

20152026

most citedMultiplicative quiver varieties and generalised Ruijsenaars-Schneider models

40 citations · 146 across the 22 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.SG2023

Compatible Poisson structures on multiplicative quiver varieties

Maxime Fairon

Any multiplicative quiver variety is endowed with a Poisson structure constructed by Van den Bergh through reduction from a Hamiltonian quasi-Poisson structure. The smooth locus ca…

math.RT2023★ 1 cited

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…

math-ph2023★ 3 cited

Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of $U (n)$

M. Fairon, L. Feher

We construct a master dynamical system on a $U (n)$ quasi-Poisson manifold, $M_{d}$ , built from the double $U (n) \times U (n)$ an…

Compatible Poisson structures on multiplicative quiver varieties

Functorial constructions related to double Poisson vertex algebras

Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of U(n)

Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of $U (n)$