Quantum algebra: from representation theory to integrable systems

这个项目开发了统计力学驱动的工具之间的接口，在可积系统和计算物理的代数和表示理论的领域。作为这个界面中呈现的丰富思想的一个例子，我们有经典的量子群概念，展望未来的应用，将量子群及其对偶的泛化表示和驱动到各种有趣的方向(例如朝向更高维度和/或非平凡的边界条件；以及考虑因式分解问题)。

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).