Mathematical Sciences: Jordan Structure Theory

数学科学：乔丹结构理论

• 批准号: 8903309
• 负责人: Kevin McCrimmon
• 金额: $ 10.36万
• 依托单位: University of Virginia Main Campus
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-01 至 1993-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8903309&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Jordan; Structure; Theory

This project is concerned with the structure of Jordan algebras and triple systems. The principal investigator will extend Zelmanov's classification of prime bimodules for Jordan structures. He will study the structure of prime Jordan triple systems of Clifford type and investigate the s-identities of Glennie and Thedy. In addition, the influence of Jordan and alternative superalgebras on the structure of ordinary Jordan and alternative algebras will be considered. This research is concerned with the study of Jordan algebras. Jordan algebras arose in the 1920's through the efforts of the physicist P. Jordan to find an algebraic generalization of the formalism of quantum mechanics. These structures have some interesting connections with several different areas of mathematics.

该项目涉及约旦的结构 代数和三元系主要研究者将 关于Jordan素双模Zelmanov分类的推广 结构.他将研究素数乔丹三元组的结构 Clifford型系统并研究的s-恒等式 Glennie和Thedy此外，约旦和 普通Jordan结构上的交错超代数 并将考虑替代代数。 本研究是关于约旦的研究 代数乔丹代数出现在20世纪20年代通过 物理学家P·乔丹努力寻找一个代数 量子力学的形式主义的推广。这些 结构与几个有趣的联系 不同的数学领域。