Quantum algebra: from representation theory to integrable systems

本项目在可积系统、代数和计算物理的表示理论领域开发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，并期待应用表明和推动量子群及其对偶的推广到各种有趣的方向（例如向高维和/或非平凡边界条件；以及对分解问题的考虑）。

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).