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pro vyhledávání: '"Dotsenko, Vladimir"'
Autor:
Dotsenko, Vladimir, Shadrin, Sergey
For every differential graded Lie algebra $\mathfrak{g}$ one can define two different group actions on the Maurer-Cartan elements: the ubiquitous gauge action and the action of $\mathrm{Lie}_\infty$-isotopies of $\mathfrak{g}$, which we call the ambi
Externí odkaz:
http://arxiv.org/abs/2407.06589
Autor:
Dotsenko, Vladimir, Zhakhayev, Bekzat
We prove that a variety of Novikov algebras has a distributive lattice of subvarieties if and only if the lattice of its subvarieties defined by identities of degree three is distributive, thus answering, in the case of Novikov algebras, a question o
Externí odkaz:
http://arxiv.org/abs/2406.19319
Autor:
Bruned, Yvain, Dotsenko, Vladimir
We characterise the chain rule symmetry for the geometric stochastic heat equations in the full subcritical regime for Gaussian and non-Gaussian noises. We show that the renormalised counter-terms that give a solution invariant under changes of coord
Externí odkaz:
http://arxiv.org/abs/2403.17066
In earlier work of three of the authors of the present paper, a supercommutative quadratic algebra was associated to each symmetric quiver, and a new proof of positivity of motivic Donaldson-Thomas invariants of symmetric quivers was given using the
Externí odkaz:
http://arxiv.org/abs/2402.12768
Autor:
Dotsenko, Vladimir
We prove a theorem that computes, for any augmented operad $\mathcal{O}$, the stable homology of the Lie algebra of derivations of the free algebra $\mathcal{O}(V)$ with twisted bivariant coefficients (here stabilization occurs as $\dim(V)\to\infty$)
Externí odkaz:
http://arxiv.org/abs/2311.18594
Autor:
Bruned, Yvain, Dotsenko, Vladimir
In this work, we introduce multi-Novikov algebras, a generalisation of Novikov algebras with several binary operations indexed by a given set, and show that the multi-indices recently introduced in the context of singular stochastic partial different
Externí odkaz:
http://arxiv.org/abs/2311.09091
Autor:
Dotsenko, Vladimir, Kashuba, Iryna
A metaphor of Jean-Louis Loday describes Lie, associative, and commutative associative algebras as ``the three graces'' of the operad theory. In this article, we study the three graces in the category of $\mathfrak{sl}_2$-modules that are sums of cop
Externí odkaz:
http://arxiv.org/abs/2310.20635
Autor:
Dotsenko, Vladimir
We present some results, both rigorously mathematical and computational, showing unexpected relations between different identities expressing nilpotence in nonassociative algebras, and formulate a number of conjectural generalizations and related que
Externí odkaz:
http://arxiv.org/abs/2306.11362
Autor:
Dotsenko, Vladimir
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 an antisymmetric bracket which is a bi-derivation but does not necess
Externí odkaz:
http://arxiv.org/abs/2306.08351