Computing the real Weyl group
Representation Theory
2019-07-03 v1
Abstract
Let g be a semisimple Lie algebra over the real numbers. We describe an explicit combinatorial construction of the real Weyl group of g with respect to a given Cartan subalgebra. An efficient computation of this Weyl group is important for the classification of regular semisimple subalgebras, real carrier algebras, and real nilpotent orbits associated with g; the latter have various applications in theoretical physics.
Cite
@article{arxiv.1907.01398,
title = {Computing the real Weyl group},
author = {Heiko Dietrich and Willem A. de Graaf},
journal= {arXiv preprint arXiv:1907.01398},
year = {2019}
}