Prime Ideals and Subalgebras of Noetherian Hopf Algebras

Noetherian Hopf 代数的素理想和子代数

• 批准号: 9623579
• 负责人: Edward Letzter
• 金额: $ 6万
• 依托单位: Texas A&M Research Foundation
• 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 2000-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9623579&HistoricalAwards=false
• 关键词: Prime; Ideals; Subalgebras; Noetherian; Hopf

9623579 Letzter This award supports the research of Professor E. Letzter to work in non-commutative ring theory with special emphasis on problems arising from the theory of quantum groups. In particular, Professor Letzter will study prime and primitive ideals in finitely generated noncomutative Noetherian bialgebras, Hopf superalgebras, and iterated skew polynomial rings. He hopes to apply this work to studying multiparametric quantum function algebras in the root-of-unity case. This is research in the subfield of algebra called non-commutative ring theory. Algebra can be thought 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.

9623579莱茨特该奖项支持E.Letzter教授致力于非对易环论的研究，特别强调量子群理论所产生的问题。特别是，Letzter教授将研究有限生成的非交换Notherian双代数、Hopf超代数和迭代斜多项式环中的素理想和本原理想。他希望将这项工作应用于研究单位根情况下的多参数量子函数代数。这是代数子领域的研究，称为非对易环论。代数可以看作是对抽象对称性的研究。因此，代数在物理和化学领域有直接的应用。事实上，许多非对易环理论概括了量子力学中发现的结构，该提议继续探索与现代量子场论直接相关的领域。