Subregular subalgebras and invariant generalized complex structures on Lie groups
Algebraic Geometry
2017-01-03 v1 Differential Geometry
Rings and Algebras
Abstract
We introduce the notion of a subregular subalgebra, which we believe is useful for classification of subalgebras of Lie algebras. We use it to construct a non-regular invariant generalized complex structure on a Lie group. As an illustration of the study of invariant generalized complex structures, we compute them all for the real forms of G2.
Cite
@article{arxiv.1701.00222,
title = {Subregular subalgebras and invariant generalized complex structures on Lie groups},
author = {Evgeny Mayanskiy},
journal= {arXiv preprint arXiv:1701.00222},
year = {2017}
}