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19952025
most citedThe JOREK non-linear extended MHD code and applications to large-scale instabilities and their control in magnetically confined fusion plasmas

213 citations

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53 papers · 1 filter

math.QA2024

Hidden structures behind ambient symmetries of the Maurer-Cartan equation

Vladimir Dotsenko, Sergey Shadrin

For every differential graded Lie algebra one can define two different group actions on the Maurer-Cartan elements: the ubiquitous gauge action and the action of $\m…

math.QA2023★ 1 cited

Combinatorics of pre-Lie products sharing a Lie bracket

Paul Laubie

We study in detail the operad controlling several pre-Lie algebra structures sharing the same Lie bracket. Specifically, we show that this operad admits a combinatorial description…

math.QA2023

Nilpotence, weak nilpotence, and the nil property in the nonassociative world: computations and conjectures

Vladimir Dotsenko

We present some results, both rigorously mathematical and computational, showing unexpected relations between different identities expressing nilpotence in nonassociative algebras,…

math.QA2023

Identities for deformation quantizations of almost Poisson algebras

Vladimir Dotsenko

We propose an algebraic viewpoint of the problem of deformation quantization of the so called almost Poisson algebras, which are algebras with a commutative associative product and…

math.QA2022★ 1 cited

Maurer-Cartan methods in deformation theory: the twisting procedure

Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette

This monograph provides an overview on the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a conceptual, exhaustive and gentle treatment o…

math.QA2019★ 3 cited

Distributive laws between the operads Lie and Com

Murray Bremner, Vladimir Dotsenko

Using methods of computer algebra, especially Gröbner bases for submodules of free modules over polynomial rings, we solve a classification problem in theory of algebraic operads:…