Geometric and category theoretic methods in representation theory

表示论中的几何和范畴论方法

• 批准号: 341279-2012
• 负责人: Savage, Alistair
• 金额: $ 1.53万
• 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: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=595359
• 关键词: Geometric; category; theoretic; methods; representation

Algebra is one of the oldest areas in mathematics. It encompasses a wide range of subjects from simple algebraic equations and polynomials to linear and abstract algebra. The study of symmetries is related to a branch of algebra called 'group theory'. For example, the set of symmetries of a physical or geometric object form what mathematicians call a 'group'. The study of how groups act on other mathematical objects, such as sets and vector spaces, is called 'representation theory'.

代数是数学中最古老的领域之一。它涵盖了广泛的主题，从简单的代数方程和多项式到线性和抽象代数。对称性的研究与称为“群论”的代数分支有关。例如，物理或几何对象的对称性集合形成了数学家所说的“群”。研究群如何作用于其他数学对象（例如集合和向量空间）的学科称为“表示论”。