Zobrazeno 1 - 10
of 161
pro vyhledávání: '"P. Dotsenko, Vladimir"'
Autor:
Dotsenko, Vladimir, Mozgovoy, Sergey
The notion of Weyl modules, both local and global, goes back to Chari and Pressley in the case of affine Lie algebras, and has been extensively studied for various Lie algebras graded by root systems. We extend that definition to a certain class of L
Externí odkaz:
http://arxiv.org/abs/2411.17550
Autor:
Dotsenko, Vladimir, Laubie, Paul
We study a coloured operad involving rooted trees and directed cycles of rooted trees that generalizes the operad of rooted trees of Chapoton and Livernet. We describe all the relations between the generators of a certain suboperad of that operad, an
Externí odkaz:
http://arxiv.org/abs/2411.14143
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 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 copies of the
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