Triality in so(4,4), characteristic classes, D4 and G2 singularities
Algebraic Geometry
2013-12-10 v2 Algebraic Topology
Abstract
We recall the construction of triality automorphism of so(8) given by E. Cartan and we give a matrix representation for the real form so(4,4). We compute the induced results on the characteristic classes. Paralelly we study the triality automorphism of the singularity D4 (in Arnolds classification of smooth functions) and its miniversal deformation. The similarity with Lie theory leads us to a definition of G2 singularity.
Keywords
Cite
@article{arxiv.1311.0507,
title = {Triality in so(4,4), characteristic classes, D4 and G2 singularities},
author = {Malgorzata Mikosz and Andrzej Weber},
journal= {arXiv preprint arXiv:1311.0507},
year = {2013}
}
Comments
18 pages, 6 figures