S. Maximov

activity

20052024

most citedClassification of classical twists of the standard Lie bialgebra structure on a loop algebra

8 citations · 14 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.RA2024★ 1 cited

Generalized classical Yang-Baxter equation and regular decompositions

Raschid Abedin, Stepan Maximov, Alexander Stolin

The focus of the paper is on constructing new solutions of the generalized classical Yang-Baxter equation (GCYBE) that are not skew-symmetric. Using regular decompositions of finit…

math.RA2024

Regular decompositions of finite root systems and simple Lie algebras

Stepan Maximov

Let $g$ be a finite-dimensional simple Lie algebra over an algebraically closed field of characteristic 0. In this paper we classify all regular decompositions of $\math…

math.RA2022★ 4 cited

Topological Manin pairs and $(n, s)$ -type series

Raschid Abedin, Stepan Maximov, Alexander Stolin

Lie subalgebras of $L = g ((x)) \times g [x] / x^{n} g [x]$ , complementary to the diagonal embedding $Δ$ of $g [[x]]$ and Lagrangian…

math.RA2022★ 1 cited

Topological Lie bialgebra structures and their classification over $g [[x]]$

Raschid Abedin, Stepan Maximov, Alexander Stolin +1

This paper is devoted to a classification of topological Lie bialgebra structures on the Lie algebra $g [[x]]$ , where $g$ is a finite-dimensional simple…

Generalized classical Yang-Baxter equation and regular decompositions

Regular decompositions of finite root systems and simple Lie algebras

Topological Manin pairs and (n,s)-type series

Topological Lie bialgebra structures and their classification over g[[x]]

Topological Manin pairs and $(n, s)$ -type series

Topological Lie bialgebra structures and their classification over $g [[x]]$