Linear algebraic groups

线性代数群

• 批准号: 250217-2012
• 负责人: Reichstein, Zinovy
• 金额: $ 3.79万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2014
• 资助国家: 加拿大
• 起止时间: 2014-01-01 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=547542
• 关键词: Linear; algebraic; groups

Everyone knows that some shapes are more symmetric than others. A circle, for example, is more symmetric than a square, and a square is the most symmetric of all rectangles. The great 19th century German mathematician Felix Klein advocated an approach to geometry where geometric shapes are studied via their symmetries. Symmetries of a given figure can be multiplied, by applying one after the other; in modern language, they form an algebraic structure, called a ``group".

每个人都知道有些形状比其他形状更对称。例如，圆形比正方形更对称，而正方形是所有矩形中最对称的。 伟大的19世纪世纪德国数学家菲利克斯·克莱因（Felix Klein）提倡一种通过对称性研究几何形状的方法。 一个给定图形的对称性可以通过一个接一个地应用而相乘;在现代语言中，它们形成了一个代数结构，称为“群”。