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math.QA2020★ 8 cited
Classification of classical twists of the standard Lie bialgebra structure on a loop algebra
Raschid Abedin, Stepan Maximov
The standard Lie bialgebra structure on an affine Kac-Moody algebra induces a Lie bialgebra structure on the underlying loop algebra and its parabolic subalgebras. In this paper we…
math.AG2020★ 5 cited
Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation
Raschid Abedin, Igor Burban
This paper is devoted to algebro-geometric study of infinite dimensional Lie bialgebras, which arise from solutions of the classical Yang-Baxter equation. We regard trigonometric s…