Quantum algebra: from representation theory to integrable systems

该项目开发了统计力学驱动的工具之间的接口，在可积系统和代数和计算物理表示论的领域。作为一个例子，丰富的思想，目前在这个接口，我们有经典的概念，量子群，并期待着，应用程序，指示和驱动概括的量子群和他们的研究到各种有趣的方向（如朝向更高的维度和/或非平凡的边界条件;和考虑的因式分解问题）。

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).