Classification of 6-dimensional real Drinfeld doubles
Quantum Algebra
2007-05-23 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Starting from the classification of real Manin triples done in a previous paper we look for those that are isomorphic as 6-dimensional Lie algebras with the ad-invariant form used for construction of the Manin triples. We use several invariants of the Lie algebras to distinguish the non-isomorphic structures and give explicit form of maps between Manin triples that are decompositions of isomorphic Drinfeld doubles. The result is a complete list of 6-dimensional real Drinfeld doubles. It consists of 22 classes of non-isomorphic Drinfeld doubles.
Cite
@article{arxiv.math/0202210,
title = {Classification of 6-dimensional real Drinfeld doubles},
author = {L. Snobl and L. Hlavaty},
journal= {arXiv preprint arXiv:math/0202210},
year = {2007}
}
Comments
27 pages, corrected minor mistakes and typos, added references