Chevalley group schemes as varieties over the field of one element

[摘要] The “field of one element" is a concept first suggested by J. Tits in 1957. It has been worked on and redefined many times over the past fifty years; in this paper we consider varieties over a quadratic extension of this field, introduced by C. Soule and then refined by Connes and Consani. We follow the Connes and Consani paper “On The Notion Of Geometry Over F\(_1\)" and present their results along with the necessary introduction to Chevalley groups and algebraic geometry.

[发布机构] University:University of Birmingham;Department:School of Mathematics

[关键词] Q Science;QA Mathematics