Mathematical Sciences: "Cocharacter Sequences"

数学科学：“共字符序列”

• 批准号: 9622062
• 负责人: Allan Berele
• 金额: $ 6万
• 依托单位: DePaul University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-06-15 至 1999-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9622062&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Cocharacter; Sequences

9622062 Berele This award supports the research of Professor A. Berele to work in non-commutative ring theory with special emphasis on problems arising from generalizations of the theory of cocharacter sequences that arise in the study of p.i. algebras. In particular, he wants to study cocharacter sequences that arise from Hopf algebra actions. This is research in the subfield of algebra called non-commutative ring theory. Algebra can be though of as the study of symmetry in the abstract. As such, algebra has direct applications to areas of physics and chemistry. In fact, much of non-commutative ring theory generalizes structures found in Quantum Mechanics and this proposal continues to explore areas that connect directly with modern quantum field theory. There are also connections to problems in many other areas of mathematics such as invariant theory.

9622062 Berele 该奖项支持 A. Berele 教授在非交换环理论方面的研究，特别强调在 p.i 研究中出现的共字符序列理论推广所产生的问题。代数。特别是，他想研究由 Hopf 代数动作产生的共字符序列。 这是代数子领域的研究，称为非交换环理论。代数可以被认为是抽象的对称性研究。因此，代数可以直接应用于物理和化学领域。事实上，许多非交换环理论概括了量子力学中发现的结构，并且该提议继续探索与现代量子场论直接相关的领域。它还与许多其他数学领域的问题有关，例如不变理论。