Mathematical Sciences: Finite Subgroups of Lie Groups and Automorphisms of Vertex Operator Algebras

数学科学：李群的有限子群和顶点算子代数的自同构

• 批准号: 9623038
• 负责人: Robert Griess
• 金额: $ 7.65万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-06-01 至 2000-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9623038&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Finite; Subgroups; Lie

9623038 Griess This grant supports the research of Professor R. Griess to work on three different areas. The first area is that of embedding finite simple groups into certain exceptional Lie groups. Next he will study the automorphism groups of infinite dimensional vertex operator algebras. Finally he hopes to come up with methods that will give a more uniform method of generating the finite simple groups through the study of automorphisms of certain lattices. This is research in the field of algebra. Algebra can be thought of as the study of symmetry in the abstract. As such algebra has direct applications to areas of physics and chemistry. In particular the modern theory of gauge fields in physics uses this area of algebra extensively. There are also connections to coding theory and the transmission of data across communication lines.

9623038 GRIESS这笔赠款支持R. Griess教授在三个不同领域的研究。第一个领域是将有限的简单组嵌入到某些特殊的谎言组中。接下来，他将研究无限尺寸顶点操作员代数的自动形态群体。最后，他希望提出通过研究某些晶格的自动形态来产生有限简单组的方法，从而产生有限的简单群体。 这是代数领域的研究。可以将代数视为抽象中对称的研究。因此，这种代数直接应用于物理和化学领域。特别是，物理学仪表领域的现代理论广泛使用了代数的该区域。与编码理论以及跨通信线的数据传输也有连接。