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pro vyhledávání: '"Goncharov , Maxim"'
In this paper, first we revisit the formal integration of Lie algebras, which give rise to braces in some special cases. Then we establish the formal integration theory for complete Rota-Baxter Lie algebras, that is, we show that there is a Rota-Baxt
Externí odkaz:
http://arxiv.org/abs/2404.09261
Autor:
Goncharov, Maxim
In the paper, we introduce the notion of a Rota-Baxter operator of a non-scalar weight. As a motivation, we show that there is a natural connection between Rota-Baxter operators of this type and structures of quasitriangular Lie bialgebras on a quadr
Externí odkaz:
http://arxiv.org/abs/2403.13697
Autor:
Goncharov, Maxim
In the paper we describe structures of quasitriangular Lie bialgebra on $gl_2(\mathbb C)$ using the classification of Rota-Baxter operators of nonzero weight on $gl_2(\mathbb C)$.
Externí odkaz:
http://arxiv.org/abs/2207.07109
Autor:
Maier, Benedikt, Narayanan, Siddharth M., de Castro, Gianfranco, Goncharov, Maxim, Paus, Christoph, Schott, Matthias
Publikováno v:
Mach. Learn.: Sci. Technol. 3 (2022) 025012
Particle production from secondary proton-proton collisions, commonly referred to as pile-up, impair the sensitivity of both new physics searches and precision measurements at LHC experiments. We propose a novel algorithm, PUMA, for identifying pile-
Externí odkaz:
http://arxiv.org/abs/2107.02779
Autor:
Goncharov, Maxim, Gubarev, Vsevolod
Publikováno v:
Adv. Math. 409 (B), 2022, 108680
We introduce the notion of $\lambda$-double Lie algebra, which coincides with usual double Lie algebra when $\lambda = 0$. We state that every $\lambda$-double Lie algebra for $\lambda\neq0$ provides the structure of modified double Poisson algebra o
Externí odkaz:
http://arxiv.org/abs/2104.13678
Autor:
Goncharov, Maxim
Publikováno v:
Journal of algebra, 582, 2021, 39-56
We generalize the notion of a Rota-Baxter operator on groups and the notion of a Rota-Baxter operator of weight 1 on Lie algebras and define and study the notion of a Rota-Baxter operator on a cocommutative Hopf algebra $H$. If $H=F[G]$ is the group
Externí odkaz:
http://arxiv.org/abs/2011.14390
Publikováno v:
Computing and Software for Big Science 5, 11 (2021)
Dynamo is a full-stack software solution for scientific data management. Dynamo's architecture is modular, extensible, and customizable, making the software suitable for managing data in a wide range of installation scales, from a few terabytes store
Externí odkaz:
http://arxiv.org/abs/2003.11409
Autor:
Goncharov, Maxim, Gubarev, Vsevolod
Publikováno v:
Linear and Multilinear Algebra, vol. 70, iss. 6 (2022), p. 1055-1080
We classify all Rota-Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which are not arisen from the decompositions of the entire algebra into a direct vector space sum o
Externí odkaz:
http://arxiv.org/abs/1911.13020
Autor:
Goncharov, Maxim
We study possible connections between Rota-Baxter operators of non-zero weight and non-skew-symmetric solutions of the classical Yang-Baxter equation on finite-dimensional quadratic Lie algebras. The particular attention is made to the case when for
Externí odkaz:
http://arxiv.org/abs/1909.11312
Autor:
Goncharov, Maxim, Gubarev, Vsevolod
Publikováno v:
In Advances in Mathematics 19 November 2022 409 Part B
