R. Louis

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20212026

most citedOn symmetries of singular foliations

2 citations · 3 across the 10 of their papers we have counts for

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math.SG2026

The symplectic leaves of the affine Poisson $C^{\infty}$ -scheme associated with a singular subalgebroid

Ruben Louis

Every singular subalgebroid, and in particular every singular foliation $G$ , determines a universal Poisson $C^{\infty}$ -scheme $Spec (F (G))$ , w…

math.SG2026

Lie-Rinehart and Poisson algebras over $C^{\infty}$ -rings

Eugene Lerman, Ruben Louis

We define the analogue of Lie-Rinehart algebras over $C^{\infty}$ -rings. We show that given a Poisson $C^{\infty}$ -ring $A$ its module $Ω_{A}^{1}$ of $C^{\infty}$ -Käh…

math-ph2026

On construction of differential $Z$ -graded varieties

Aliaksandr Hancharuk, Ruben Louis

Given a commutative unital algebra $O$ , a proper ideal $I$ in $O$ , and a positively graded differential variety over $O / I$ , we provide…

The symplectic leaves of the affine Poisson C∞-scheme associated with a singular subalgebroid

Lie-Rinehart and Poisson algebras over C∞-rings

On construction of differential Z-graded varieties

The symplectic leaves of the affine Poisson $C^{\infty}$ -scheme associated with a singular subalgebroid

Lie-Rinehart and Poisson algebras over $C^{\infty}$ -rings

On construction of differential $Z$ -graded varieties