English

The subalgebras of $\mathfrak{so}(4,\mathbb{C})$

Representation Theory 2015-03-09 v1

Abstract

We classify the solvable subalgebras, semisimple subalgebras, and Levi decomposable subalgebras of so(4,C)\mathfrak{so}(4,\mathbb{C}), up to inner automorphism. By Levi's Theorem, this is a full classification of the subalgebras of so(4,C)\mathfrak{so}(4,\mathbb{C}).

Keywords

Cite

@article{arxiv.1503.02028,
  title  = {The subalgebras of $\mathfrak{so}(4,\mathbb{C})$},
  author = {Andrew Douglas and Joe Repka},
  journal= {arXiv preprint arXiv:1503.02028},
  year   = {2015}
}