101 citations · 968 across the 80 of their papers we have counts for
12 papers · 1 filter
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,…
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…
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…
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:…
The twisting procedure
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
This paper provides a conceptual study of the twisting procedure, which amounts to create functorially new differential graded Lie algebras, associative algebras or operads (as wel…
Classification of regular parametrized one-relation operads
Murray Bremner, Vladimir Dotsenko
Jean-Louis Loday introduced a class of symmetric operads generated by one bilinear operation subject to one relation making each left-normed product of three elements equal to a li…