Quantized Algebraic (Super) Structures and Applications

量子化代数（超）结构及应用

• 批准号: LX0346913
• 负责人: Em/Prof Mark Gould
• 金额: $ 4.61万
• 依托单位: The University of Queensland
• 依托单位国家: 澳大利亚
• 项目类别: Linkage - International
• 财政年份: 2002
• 资助国家: 澳大利亚
• 起止时间: 2002-09-03 至 2006-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/LX0346913
• 关键词: Quantized; Algebraic; Super; Structures; Applications

Algebraic structures such as quantized superalgebras and affine Lie (super)algebras provide a universal common algebraic framework underlying applications in a wide range of physical systems, leading to a high level of research activity worldwide. The project involves intensive collaborations between leading mathematical physics groups in China and Australia on exciting new developments in the theory of these algebraic structures and their applications to condensed matter physics and quantum field theories. The expected outcomes are significant new progress in an area at the forefront of mathematical physics and the establishment of strong research links between China and Australia.

诸如量子化超代数和仿射李（超）代数之类的代数结构为广泛的物理系统的应用提供了一个通用的通用代数框架，导致了世界范围内的高水平研究活动。该项目涉及中国和澳大利亚领先的数学物理小组之间的密切合作，在这些代数结构理论及其在凝聚态物理和量子场理论中的应用方面取得了令人兴奋的新进展。预期的结果是在数学物理的前沿领域取得了重大的新进展，并建立了中澳两国之间强有力的研究联系。