Quantum algebra: from representation theory to integrable systems

量子代数：从表示论到可积系统

• 批准号: 2744813
• 金额: --
• 依托单位: University of Leeds
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2744813
• 关键词: Quantum; algebra; representation; theory; integrable

This project develops the interface between statistical mechanics-driven tools in the areas both of integrable systems and of algebra and representation theory for computational physics. As an example of the richness of ideas present in this interface we have the classical notion of quantum groups and, looking forward, to applications that indicate and drive generalisations of quantum groups and their duals into various intriguing directions (such as towards higher dimensions and/or non-trivial boundary conditions; and the consideration of factorisation problems).

该项目开发了可积系统以及计算物理代数和表示论领域的统计力学驱动工具之间的接口。作为这个界面中存在的丰富思想的一个例子，我们有量子群的经典概念，并且期待着指示和驱动量子群及其对偶的泛化到各种有趣的方向（例如更高维度和/或非平凡的边界条件；以及因式分解问题的考虑）。