Local Moufang sets
Group Theory
2017-06-16 v1
Abstract
All known Moufang sets arise, in some way or another, from an algebraic structure which can be called `division' in some way. In this PhD dissertation, I made an attempt to develop a theory of local Moufang sets, which generalize Moufang sets in a way to allow constructing using the corresponding local algebraic structures. In the first of the two major parts of the dissertation, I develop the theory of local Moufang sets, while in the second part, some examples are constructed. The most general example constructed arises from a local Jordan pair (which corresponds to a local Jordan algebra), and one of the main theorems characterizes these local Moufang sets.
Cite
@article{arxiv.1706.04858,
title = {Local Moufang sets},
author = {Erik Rijcken},
journal= {arXiv preprint arXiv:1706.04858},
year = {2017}
}
Comments
PhD dissertation of 221 pages