Constructive representation theory of classical and quantum Lie superalgebras

经典和量子李超代数的构造性表示论

• 批准号: DP140101492
• 负责人: Em/Prof Mark Gould
• 金额: $ 23.42万
• 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: 2014
• 资助国家: 澳大利亚
• 起止时间: 2014-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP140101492
• 关键词: Constructive; representation; theory; classical; quantum

Classical and quantum Lie superalgebras lie at the heart of many recent theoretical developments in the fields of integrable models and conformal field theory. Based on results published in 2013 by the Chief Investigators, it is evident that the time is right to further develop these ideas into a coherent and canonical framework. This ambitious and thorough proposal is focussed on solving sophisticated, contemporary problems in representation theory related to classical and quantum Lie superalgebras that will have immediate consequences in these burgeoning fields.

经典和量子李超代数是可积模型和共形场论领域许多最新理论发展的核心。根据首席调查员2013年发表的结果，显然现在是进一步将这些想法发展成一个连贯和规范的框架的时候了。这个雄心勃勃的和彻底的建议是集中在解决复杂的，当代的问题，在表示理论相关的经典和量子李超代数，将有直接的后果，在这些新兴的领域。