Quantum algebras: their symmetries, invariants and representations

该项目解决了重大的数学问题，这些问题对理论物理具有根本的重要性。起源于统计力学的代数结构将用现代数学的方法来研究。该项目的成功完成将为物理学家提供重要的新工具，用于研究量子引力和旋量反射等现象的对称性。该项目的成功将有助于在澳大利亚创造一个促进技术创造和创新的科学环境。该项目的成果将大大提高澳大利亚在国际上的科学声誉，吸引外国研究人员和博士生到澳大利亚。

The project addresses major outstanding mathematical problems, which are of fundamental importance to theoretical physics. The algebraic structures originated from statistical mechanics will be investigated by methods of modern mathematics. Successful completion of the project will provide physicists with important new tools for investigating the symmetry of phenomena such as quantum gravity and spinor reflections. Success of the project will help to create a scientific environment in Australia that fosters technological creativity and innovation. Results of the project will greatly enhance the scientific reputation of Australia internationally, attracting foreign researchers and PhD students to Australia.