arXivDaily arXiv每日学术速递 周一至周五更新
arXiv math/0503201math.RT
收藏

几何学、对偶原理和代数群

Geometries, the principle of duality, and algebraic groups

Michael Carr, Skip Garibaldi

摘要:

Jacques Tits给出了从半单代数群产生抽象几何的一般方法。本文介绍了一种统一的方法,给出了具体实现山雀的几何和工程通过几个例子。给出了群的自同构诱导的几何自同构的判别准则。深入研究了E6几何。

英文摘要:

Jacques Tits gave a general recipe for producing an abstract geometry from a semisimple algebraic group. This expository paper describes a uniform method for giving a concrete realization of Tits's geometry and works through several examples. We also give a criterion for recognizing the automorphism of the geometry induced by an automorphism of the group. The E6 geometry is studied in depth.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑