English

Solvable quadratic Lie algebras of dimensions $\leq 8$

Rings and Algebras 2017-02-10 v2

Abstract

In this paper, we classify solvable Lie algebras of dimensions 8\leq 8 endowed with a nondegenerate invariant symmetric bilinear form over an algebraically closed field. This classification (up to isometrically isomorphisms) is mainly based on the double extension method.

Keywords

Cite

@article{arxiv.1407.6775,
  title  = {Solvable quadratic Lie algebras of dimensions $\leq 8$},
  author = {Minh Thanh Duong and Rosane Ushirobira},
  journal= {arXiv preprint arXiv:1407.6775},
  year   = {2017}
}

Comments

19 pages