Singular unitary representation, rank and theta correspondance

奇异酉表示、秩和 theta 对应

• 批准号: 355464-2008
• 负责人: Salmasian, Hadi
• 金额: $ 1.02万
• 依托单位: University of Ottawa
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=503627
• 关键词: Singular; unitary; representation; rank; theta

Unitary representations are realizations of group actions as isometries of generally infinite dimensional Hilbert spaces. In early twentieth century, the study of unitary representations was motivated by physicists' interest in symmetries of quantum mechanical systems. Nowadays, these representations appear in many diverse areas of mathematics.

酉表示是群行为作为一般无限维希尔伯特空间的等距的实现。二十世纪初，物理学家对量子力学系统对称性的兴趣激发了对酉表示的研究。如今，这些表示出现在数学的许多不同领域。