Representation of classical and quantum groups

经典群和量子群的表示

• 批准号: 261452-2008
• 负责人: Stokke, Anna
• 金额: $ 0.87万
• 依托单位: University of Winnipeg
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=525233
• 关键词: Representation; classical; quantum; groups

Symmetries occur naturally in the world and are of interest to many scientists including mathematicians, chemists, and physicists. By placing an algebraic structure on the set of symmetries of an object, one obtains a group. A representation is a way of identifying a particular group with another group that has properties which allow one to extract information about the original group. Many representations are intrinsically complicated and it is desirable to find simplified methods for studying them. This proposal is concerned with the study of representations for particular groups using other mathematical objects such as Schur algebras that allow one to discover information about the original representation.

对称性自然存在于世界上，并且对包括数学家，化学家和物理学家在内的许多科学家感兴趣。 通过将代数结构放置在对象的对称性集中，可以获得一组。 表示形式是一种使用具有属性的另一组识别特定组的方法，该组允许一个人提取有关原始组的信息。 许多表示本质上是复杂的，希望找到研究它们的简化方法。 该提案与使用其他数学对象（例如Schur代数）有关特定组的表示形式的研究，这些对象允许人们发现有关原始表示形式的信息。