Mathematical Sciences: Representation Theory of Reductive P-Adic Groups

数学科学：还原 P-Adic 群的表示论

• 批准号: 9500973
• 负责人: Allen Moy
• 金额: $ 8.74万
• 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: 1995
• 资助国家: 美国
• 起止时间: 1995-06-01 至 2000-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9500973&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Representation; Theory; Reductive

DMS-9500973 PI: Moy Moy will investigate various aspects of the representation theory of p-adic reductive groups. This will include investigations into the behavior of characters in which the local character expansion of a representation is shown to be connected to certain representations of compact open subgroups appearing in the representation, and the development of the theory of minimal K-types for reductive p-adic groups based on the results of unrefined minimal K-types. The theory of Lie groups, named in honor of the Norwegian mathematician Sophus Lie, has been one of the major themes in twentieth century mathematics. As the mathematical vehicle for exploiting the symmetries inherent in a system, the representation theory of Lie groups has had a profound impact upon mathematics itself, particularly in analysis and number theory, and upon theoretical physics, especially quantum mechanics and elementary particle physics.

DMS-9500973 PI：Moy 莫伊将调查的各个方面的代表性理论的p进约化群。 这将包括调查的行为字符的地方字符扩展的表示被证明是连接到某些表示紧凑的开放子群出现在表示，和发展的理论最小的K型约化p进群的基础上的结果未细化的最小的K型。 李群理论是以挪威数学家Sophus Lie的荣誉命名的，是世纪数学的重要课题之一。 李群表示论作为利用系统中固有对称性的数学工具，对数学本身，特别是分析和数论，以及理论物理学，特别是量子力学和基本粒子物理学产生了深远的影响。