Representations of p-adic groups, and applications to coding and crytography

p-adic 群的表示以及在编码和密码学中的应用

• 批准号: 229816-2009
• 负责人: Nevins, Monica
• 金额: $ 1.17万
• 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: 2014
• 资助国家: 加拿大
• 起止时间: 2014-01-01 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=546916
• 关键词: Representations; adic; groups; applications; coding

The representation theory of p-adic groups is a burgeoning area of research, with strong ties to both Lie theory and to number theory. Recent years have seen significant advances in the classification and construction of representations of such groups. A major theme of the research within this proposal is refining these recent results and transferring this knowledge to the associated representation theory of the maximal compact subgroups of these p-adic groups, through the analysis of the branching rules of the representations.

P-ADIC群体的表示理论是一个新兴的研究领域，与谎言理论和数字理论都有很强的联系。 近年来，在此类群体的代表性分类和构建方面取得了重大进展。 该提案中研究的一个主要主题是完善这些最新结果，并通过分析表示表示的分支规则，将这些知识转移到这些P-ADIC群体最大紧凑型亚组的相关表示理论中。