Raschid Abedin

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20202025

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

8 citations · 20 across the 10 of their papers we have counts for

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math.AG2023

Classification of $D$ -bialgebra structures on power series algebras

Raschid Abedin

In this paper, we use algebro-geometric methods in order to derive classification results for so-called $D$ -bialgebra structures on the power series algebra $A [[z]]$ for certai…

math.AG2021

Geometrization of solutions of the generalized classical Yang-Baxter equation and a new proof of the Belavin-Drinfeld trichotomy

Raschid Abedin

We study solutions to a generalized version of the classical Yang-Baxter equation (CYBE) with values in a central simple Lie algebra over a field of characteristic 0 from an algebr…

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…

Classification of D-bialgebra structures on power series algebras

Geometrization of solutions of the generalized classical Yang-Baxter equation and a new proof of the Belavin-Drinfeld trichotomy

Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation

Classification of $D$ -bialgebra structures on power series algebras