Wick-rotations of pseudo-Riemannian Lie groups
Differential Geometry
2020-09-08 v2
Abstract
We study Wick-rotations of left-invariant metrics on Lie groups, using results from real GIT (\cite{1}, \cite{2}, \cite{3}). An invariant for Wick-rotation of Lie groups is given, and we describe when a pseudo-Riemannian Lie group can be Wick-rotated to a Riemannian Lie group. We also prove a general version (for general Lie algebras) of . Cartan's result, namely the existence and conjugacy of Cartan involutions.
Keywords
Cite
@article{arxiv.1810.12037,
title = {Wick-rotations of pseudo-Riemannian Lie groups},
author = {Christer Helleland},
journal= {arXiv preprint arXiv:1810.12037},
year = {2020}
}
Comments
To appear in J. Geom. Physics, 26 pages