The Weyl functor - Introduction to Absolute Arithmetic
Group Theory
2014-06-20 v1 Combinatorics
Abstract
Starting from an ancient observation of Tits concerning the interpretation of symmetric groups as Chevalley groups over a (non-existing) field having only one element, we describe combinatorial geometry over this field, as well as Linear Algebra. We arrive at an "absolute mantra" which is one of the basic principles of the present book.
Cite
@article{arxiv.1406.5075,
title = {The Weyl functor - Introduction to Absolute Arithmetic},
author = {Koen Thas},
journal= {arXiv preprint arXiv:1406.5075},
year = {2014}
}
Comments
38 pages; submitted (June 2013) as a chapter in the monograph "Absolute Arithmetic and $\mathbb{F}_1$-Geometry" (ed. K. Thas)