Algebraic Structures in Mathematical Physics and Their Applications

数学物理中的代数结构及其应用

• 批准号: ARC : DP0208808
• 负责人: A/Prof Paul Pearce
• 金额: $ 45.78万
• 依托单位: The University of Queensland
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2002
• 资助国家: 澳大利亚
• 起止时间: 2002-01-01 至 2005-12-31
• 项目状态: 已结题
• 来源: https://researchdata.edu.au/algebraic-structures-mathematical-their-applications/74320
• 关键词: Algebraic; Structures; Mathematical; Physics; Their

Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level of expertise in mathematical physics across Australia to focus on exciting new developments in the theory of these algebraic structures and their application to physics, thus ensuring Australia plays a leading role in this rapidly expanding field.

数学物理中的代数结构及其应用。代数结构，如仿射（超）代数，量子代数和顶点算子代数是数学中最重要的发现之一。它们提供了一个普遍的通用代数框架，在广泛的物理学应用中（例如。统计力学、弦理论、凝聚态物理等）这导致了世界范围内的高水平研究活动。该项目利用澳大利亚数学物理领域的高水平专业知识，专注于这些代数结构理论及其在物理学中的应用，从而确保澳大利亚在这个迅速发展的领域发挥主导作用。