Trigonemetric solutions of the classical Yang-Baxter equations and bialgebra structures on loop Lie algebras

循环李代数上经典杨-巴克斯特方程和双代数结构的三角解

• 批准号: 415521903
• 负责人: Professor Dr. Igor Burban
• 金额: --
• 依托单位: Fachgebiet Computeralgebra und Zahlentheorie
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2021-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/415521903?language=en
• 关键词: Trigonemetric; solutions; classical; Yang; Baxter

The main goals of this project are to develop a theory of Manin triples of trigonometric solutions of the classical Yang-Baxter equation as well as to classify all bialgebra structures on the loop algebra of a simple Lie Algebra.

本课题的主要目标是建立经典Yang-Baxter方程三角解的Manin三元组理论，并在简单李代数的循环代数上对所有双代数结构进行分类。